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Finding the Fourth Proportional to 457,517.38, 686,270.76 and 187,585.24

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Solution

The fourth proportional to 457,517.38, 686,270.76 and 187,585.24 is: 281,375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,517.38 : 686,270.76 = 187,585.24 : x
  2. Step 2: Convert to fraction form
    457,517.38/686,270.76 = 187,585.24/x
  3. Step 3: Cross multiply
    457,517.38x = 686,270.76 × 187,585.24
  4. Step 4: Simplify right side
    457,517.38x = 128,734,265,219.58
  5. Step 5: Solve for x
    x = 128,734,265,219.58/457,517.38
  6. Step 6: Final answer
    x = 281,375.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.