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Finding the Fourth Proportional to 361,657.14, 542,575.90 and 255,248.94

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Solution

The fourth proportional to 361,657.14, 542,575.90 and 255,248.94 is: 382,937.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,657.14 : 542,575.90 = 255,248.94 : x
  2. Step 2: Convert to fraction form
    361,657.14/542,575.90 = 255,248.94/x
  3. Step 3: Cross multiply
    361,657.14x = 542,575.90 × 255,248.94
  4. Step 4: Simplify right side
    361,657.14x = 138,491,923,344.55
  5. Step 5: Solve for x
    x = 138,491,923,344.55/361,657.14
  6. Step 6: Final answer
    x = 382,937.06

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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.