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Finding the Fourth Proportional to 461,200.80, 691,930.80 and 224,551.20

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Solution

The fourth proportional to 461,200.80, 691,930.80 and 224,551.20 is: 336,889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,200.80 : 691,930.80 = 224,551.20 : x
  2. Step 2: Convert to fraction form
    461,200.80/691,930.80 = 224,551.20/x
  3. Step 3: Cross multiply
    461,200.80x = 691,930.80 × 224,551.20
  4. Step 4: Simplify right side
    461,200.80x = 155,373,891,456.96
  5. Step 5: Solve for x
    x = 155,373,891,456.96/461,200.80
  6. Step 6: Final answer
    x = 336,889.90

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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.