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Finding the Fourth Proportional to 457,781.41, 631,735.24 and 253,832.27

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Solution

The fourth proportional to 457,781.41, 631,735.24 and 253,832.27 is: 350,286.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,781.41 : 631,735.24 = 253,832.27 : x
  2. Step 2: Convert to fraction form
    457,781.41/631,735.24 = 253,832.27/x
  3. Step 3: Cross multiply
    457,781.41x = 631,735.24 × 253,832.27
  4. Step 4: Simplify right side
    457,781.41x = 160,354,790,008.20
  5. Step 5: Solve for x
    x = 160,354,790,008.20/457,781.41
  6. Step 6: Final answer
    x = 350,286.81

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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.