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Finding the Fourth Proportional to 529,097.43, 730,159.82 and 287,384.73

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Solution

The fourth proportional to 529,097.43, 730,159.82 and 287,384.73 is: 396,593.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,097.43 : 730,159.82 = 287,384.73 : x
  2. Step 2: Convert to fraction form
    529,097.43/730,159.82 = 287,384.73/x
  3. Step 3: Cross multiply
    529,097.43x = 730,159.82 × 287,384.73
  4. Step 4: Simplify right side
    529,097.43x = 209,836,782,727.55
  5. Step 5: Solve for x
    x = 209,836,782,727.55/529,097.43
  6. Step 6: Final answer
    x = 396,593.84

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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.