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Currently, only Measure Values with the same measures on the card can be used on a dual axis. So, unless Prior Year, Bud YTD and Act YTD are dimensions, then this view cannot be replicated (also, the bars would have to be stacked). This is a great one to add to the Ideas section!
What you are looking for for a cluster bar chart, and Tracy is correct in so far as Tableau does not create cluster bar charts in the user interface, but you can achieve the result you are looking for in Tableau with a little extra effort.
see http://community.tableau.com/message/132454#132454 for an example.
looks good! you may also consider adjusting the stagger amount so the bars do not overlap.
How did you make overlapping bars?and what is the formula behind 'Month(stagger)'?
thanks for help!