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Finding the Fourth Proportional to 283,534.69, 425,380.85 and 123,624.60

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Solution

The fourth proportional to 283,534.69, 425,380.85 and 123,624.60 is: 185,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,534.69 : 425,380.85 = 123,624.60 : x
  2. Step 2: Convert to fraction form
    283,534.69/425,380.85 = 123,624.60/x
  3. Step 3: Cross multiply
    283,534.69x = 425,380.85 × 123,624.60
  4. Step 4: Simplify right side
    283,534.69x = 52,587,537,737.97
  5. Step 5: Solve for x
    x = 52,587,537,737.97/283,534.69
  6. Step 6: Final answer
    x = 185,471.27

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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.