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Finding the Fourth Proportional to 581,192.38, 802,403.31 and 460,819.90

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Solution

The fourth proportional to 581,192.38, 802,403.31 and 460,819.90 is: 636,215.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,192.38 : 802,403.31 = 460,819.90 : x
  2. Step 2: Convert to fraction form
    581,192.38/802,403.31 = 460,819.90/x
  3. Step 3: Cross multiply
    581,192.38x = 802,403.31 × 460,819.90
  4. Step 4: Simplify right side
    581,192.38x = 369,763,413,073.87
  5. Step 5: Solve for x
    x = 369,763,413,073.87/581,192.38
  6. Step 6: Final answer
    x = 636,215.18

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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.