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Finding the Fourth Proportional to 457,957.53, 631,251.14 and 361,003.28

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Solution

The fourth proportional to 457,957.53, 631,251.14 and 361,003.28 is: 497,608.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,957.53 : 631,251.14 = 361,003.28 : x
  2. Step 2: Convert to fraction form
    457,957.53/631,251.14 = 361,003.28/x
  3. Step 3: Cross multiply
    457,957.53x = 631,251.14 × 361,003.28
  4. Step 4: Simplify right side
    457,957.53x = 227,883,727,082.47
  5. Step 5: Solve for x
    x = 227,883,727,082.47/457,957.53
  6. Step 6: Final answer
    x = 497,608.87

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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.