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Finding the Fourth Proportional to 506,937.14, 699,551.24 and 280,569.14

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Solution

The fourth proportional to 506,937.14, 699,551.24 and 280,569.14 is: 387,173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,937.14 : 699,551.24 = 280,569.14 : x
  2. Step 2: Convert to fraction form
    506,937.14/699,551.24 = 280,569.14/x
  3. Step 3: Cross multiply
    506,937.14x = 699,551.24 × 280,569.14
  4. Step 4: Simplify right side
    506,937.14x = 196,272,489,792.73
  5. Step 5: Solve for x
    x = 196,272,489,792.73/506,937.14
  6. Step 6: Final answer
    x = 387,173.23

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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.