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Finding the Fourth Proportional to 397,691.84, 596,631.20 and 131,452.37

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Solution

The fourth proportional to 397,691.84, 596,631.20 and 131,452.37 is: 197,209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,691.84 : 596,631.20 = 131,452.37 : x
  2. Step 2: Convert to fraction form
    397,691.84/596,631.20 = 131,452.37/x
  3. Step 3: Cross multiply
    397,691.84x = 596,631.20 × 131,452.37
  4. Step 4: Simplify right side
    397,691.84x = 78,428,581,615.53
  5. Step 5: Solve for x
    x = 78,428,581,615.53/397,691.84
  6. Step 6: Final answer
    x = 197,209.43

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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.