Finding the Fourth Proportional to 296,043.26, 408,539.97 and 160,077.13
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Solution
The fourth proportional to 296,043.26, 408,539.97 and 160,077.13 is: 220,906.59
Step by Step Solution
- Step 1: Write the proportion equation
296,043.26 : 408,539.97 = 160,077.13 : x - Step 2: Convert to fraction form
296,043.26/408,539.97 = 160,077.13/x - Step 3: Cross multiply
296,043.26x = 408,539.97 × 160,077.13 - Step 4: Simplify right side
296,043.26x = 65,397,904,866.54 - Step 5: Solve for x
x = 65,397,904,866.54/296,043.26 - Step 6: Final answer
x = 220,906.59
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.