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Finding the Fourth Proportional to 488,471.85, 732,222.87 and 231,854.74

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Solution

The fourth proportional to 488,471.85, 732,222.87 and 231,854.74 is: 347,551.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,471.85 : 732,222.87 = 231,854.74 : x
  2. Step 2: Convert to fraction form
    488,471.85/732,222.87 = 231,854.74/x
  3. Step 3: Cross multiply
    488,471.85x = 732,222.87 × 231,854.74
  4. Step 4: Simplify right side
    488,471.85x = 169,769,344,930.64
  5. Step 5: Solve for x
    x = 169,769,344,930.64/488,471.85
  6. Step 6: Final answer
    x = 347,551.95

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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.