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Finding the Fourth Proportional to 411,019.20, 617,162.40 and 224,395.20

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Solution

The fourth proportional to 411,019.20, 617,162.40 and 224,395.20 is: 336,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,019.20 : 617,162.40 = 224,395.20 : x
  2. Step 2: Convert to fraction form
    411,019.20/617,162.40 = 224,395.20/x
  3. Step 3: Cross multiply
    411,019.20x = 617,162.40 × 224,395.20
  4. Step 4: Simplify right side
    411,019.20x = 138,488,280,180.48
  5. Step 5: Solve for x
    x = 138,488,280,180.48/411,019.20
  6. Step 6: Final answer
    x = 336,938.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.