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Finding the Fourth Proportional to 411,311.20, 617,139.60 and 224,456.80

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Solution

The fourth proportional to 411,311.20, 617,139.60 and 224,456.80 is: 336,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,311.20 : 617,139.60 = 224,456.80 : x
  2. Step 2: Convert to fraction form
    411,311.20/617,139.60 = 224,456.80/x
  3. Step 3: Cross multiply
    411,311.20x = 617,139.60 × 224,456.80
  4. Step 4: Simplify right side
    411,311.20x = 138,521,179,769.28
  5. Step 5: Solve for x
    x = 138,521,179,769.28/411,311.20
  6. Step 6: Final answer
    x = 336,779.50

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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.