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Finding the Fourth Proportional to 411,153.20, 617,363.40 and 224,529.20

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Solution

The fourth proportional to 411,153.20, 617,363.40 and 224,529.20 is: 337,139.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,153.20 : 617,363.40 = 224,529.20 : x
  2. Step 2: Convert to fraction form
    411,153.20/617,363.40 = 224,529.20/x
  3. Step 3: Cross multiply
    411,153.20x = 617,363.40 × 224,529.20
  4. Step 4: Simplify right side
    411,153.20x = 138,616,110,311.28
  5. Step 5: Solve for x
    x = 138,616,110,311.28/411,153.20
  6. Step 6: Final answer
    x = 337,139.81

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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.