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Finding the Fourth Proportional to 551,422.60, 826,097.10 and 284,273.80

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Solution

The fourth proportional to 551,422.60, 826,097.10 and 284,273.80 is: 425,876.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,422.60 : 826,097.10 = 284,273.80 : x
  2. Step 2: Convert to fraction form
    551,422.60/826,097.10 = 284,273.80/x
  3. Step 3: Cross multiply
    551,422.60x = 826,097.10 × 284,273.80
  4. Step 4: Simplify right side
    551,422.60x = 234,837,761,785.98
  5. Step 5: Solve for x
    x = 234,837,761,785.98/551,422.60
  6. Step 6: Final answer
    x = 425,876.20

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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.