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Finding the Fourth Proportional to 337,136.60, 506,288.10 and 219,330.20

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Solution

The fourth proportional to 337,136.60, 506,288.10 and 219,330.20 is: 329,374.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,136.60 : 506,288.10 = 219,330.20 : x
  2. Step 2: Convert to fraction form
    337,136.60/506,288.10 = 219,330.20/x
  3. Step 3: Cross multiply
    337,136.60x = 506,288.10 × 219,330.20
  4. Step 4: Simplify right side
    337,136.60x = 111,044,270,230.62
  5. Step 5: Solve for x
    x = 111,044,270,230.62/337,136.60
  6. Step 6: Final answer
    x = 329,374.71

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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.