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Finding the Fourth Proportional to 487,774.56, 731,644.25 and 127,942.53

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Solution

The fourth proportional to 487,774.56, 731,644.25 and 127,942.53 is: 191,909.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,774.56 : 731,644.25 = 127,942.53 : x
  2. Step 2: Convert to fraction form
    487,774.56/731,644.25 = 127,942.53/x
  3. Step 3: Cross multiply
    487,774.56x = 731,644.25 × 127,942.53
  4. Step 4: Simplify right side
    487,774.56x = 93,608,416,404.95
  5. Step 5: Solve for x
    x = 93,608,416,404.95/487,774.56
  6. Step 6: Final answer
    x = 191,909.18

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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.