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Finding the Fourth Proportional to 411,139.20, 617,342.40 and 224,515.20

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Solution

The fourth proportional to 411,139.20, 617,342.40 and 224,515.20 is: 337,118.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,139.20 : 617,342.40 = 224,515.20 : x
  2. Step 2: Convert to fraction form
    411,139.20/617,342.40 = 224,515.20/x
  3. Step 3: Cross multiply
    411,139.20x = 617,342.40 × 224,515.20
  4. Step 4: Simplify right side
    411,139.20x = 138,602,752,404.48
  5. Step 5: Solve for x
    x = 138,602,752,404.48/411,139.20
  6. Step 6: Final answer
    x = 337,118.80

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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.