Let's say in some abstract ViewModel base-class I have a plain-old property as follows:
public Size Size
{
    get { return _size; }
    set
    {
        _size = value;
        OnPropertyChanged("Size");
    }
}
I then create a more specific ViewModel, inheriting from the previous one, which contains the following property:
public Rect Rectangle
{
    get { return new Rect(0, 0, _size.Width, _size.Height); }
}
Now, in some View class I bind to the aforementioned ViewModel's Rectangle property. Everything works fine, until I change the size. When Size changes, Rectangle doesn't know about it and the change doesn't propagate to the View. And since Rectangle is in the child class, I can't simply add an OnPropertyChanged("Rectangle") to the Size setter.
Now imagine that I have many different properties like Rectangle, that all depend on base-class properties, and that none of these changes are being propagated. I need some lightweight and elegant way of chaining change notifications, preferably one that doesn't require a lot of code and doesn't force me into using dependency properties. 
Obviously there are a lot of ugly solutions here- what I am looking for is something clean and clever. It seems to me this would be a very common scenario, and it seems to me there might be an MVVM-friendly way of doing this.