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Finding the Fourth Proportional to 397,487.46, 596,217.42 and 113,179.80

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Solution

The fourth proportional to 397,487.46, 596,217.42 and 113,179.80 is: 169,765.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,487.46 : 596,217.42 = 113,179.80 : x
  2. Step 2: Convert to fraction form
    397,487.46/596,217.42 = 113,179.80/x
  3. Step 3: Cross multiply
    397,487.46x = 596,217.42 × 113,179.80
  4. Step 4: Simplify right side
    397,487.46x = 67,479,768,352.12
  5. Step 5: Solve for x
    x = 67,479,768,352.12/397,487.46
  6. Step 6: Final answer
    x = 169,765.78

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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.