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Finding the Fourth Proportional to 461,410.80, 692,245.80 and 224,761.20

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Solution

The fourth proportional to 461,410.80, 692,245.80 and 224,761.20 is: 337,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,410.80 : 692,245.80 = 224,761.20 : x
  2. Step 2: Convert to fraction form
    461,410.80/692,245.80 = 224,761.20/x
  3. Step 3: Cross multiply
    461,410.80x = 692,245.80 × 224,761.20
  4. Step 4: Simplify right side
    461,410.80x = 155,589,996,702.96
  5. Step 5: Solve for x
    x = 155,589,996,702.96/461,410.80
  6. Step 6: Final answer
    x = 337,204.93

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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.