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Finding the Fourth Proportional to 325,449.60, 488,462.40 and 192,163.20

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Solution

The fourth proportional to 325,449.60, 488,462.40 and 192,163.20 is: 288,414.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,449.60 : 488,462.40 = 192,163.20 : x
  2. Step 2: Convert to fraction form
    325,449.60/488,462.40 = 192,163.20/x
  3. Step 3: Cross multiply
    325,449.60x = 488,462.40 × 192,163.20
  4. Step 4: Simplify right side
    325,449.60x = 93,864,497,863.68
  5. Step 5: Solve for x
    x = 93,864,497,863.68/325,449.60
  6. Step 6: Final answer
    x = 288,414.85

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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.