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Finding the Fourth Proportional to 510,687, 704,752.92 and 284,337.36

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Solution

The fourth proportional to 510,687, 704,752.92 and 284,337.36 is: 392,388.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,687 : 704,752.92 = 284,337.36 : x
  2. Step 2: Convert to fraction form
    510,687/704,752.92 = 284,337.36/x
  3. Step 3: Cross multiply
    510,687x = 704,752.92 × 284,337.36
  4. Step 4: Simplify right side
    510,687x = 200,387,584,725.09
  5. Step 5: Solve for x
    x = 200,387,584,725.09/510,687
  6. Step 6: Final answer
    x = 392,388.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.