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Finding the Fourth Proportional to 502,573.38, 693,532.22 and 287,733.44

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Solution

The fourth proportional to 502,573.38, 693,532.22 and 287,733.44 is: 397,061.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,573.38 : 693,532.22 = 287,733.44 : x
  2. Step 2: Convert to fraction form
    502,573.38/693,532.22 = 287,733.44/x
  3. Step 3: Cross multiply
    502,573.38x = 693,532.22 × 287,733.44
  4. Step 4: Simplify right side
    502,573.38x = 199,552,411,411.44
  5. Step 5: Solve for x
    x = 199,552,411,411.44/502,573.38
  6. Step 6: Final answer
    x = 397,061.24

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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.