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Finding the Fourth Proportional to 457,472.14, 631,293.32 and 253,531.78

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Solution

The fourth proportional to 457,472.14, 631,293.32 and 253,531.78 is: 349,863.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,472.14 : 631,293.32 = 253,531.78 : x
  2. Step 2: Convert to fraction form
    457,472.14/631,293.32 = 253,531.78/x
  3. Step 3: Cross multiply
    457,472.14x = 631,293.32 × 253,531.78
  4. Step 4: Simplify right side
    457,472.14x = 160,052,919,121.71
  5. Step 5: Solve for x
    x = 160,052,919,121.71/457,472.14
  6. Step 6: Final answer
    x = 349,863.75

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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.