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Finding the Fourth Proportional to 327,400.92, 490,958.28 and 165,195.24

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Solution

The fourth proportional to 327,400.92, 490,958.28 and 165,195.24 is: 247,720.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,400.92 : 490,958.28 = 165,195.24 : x
  2. Step 2: Convert to fraction form
    327,400.92/490,958.28 = 165,195.24/x
  3. Step 3: Cross multiply
    327,400.92x = 490,958.28 × 165,195.24
  4. Step 4: Simplify right side
    327,400.92x = 81,103,970,894.59
  5. Step 5: Solve for x
    x = 81,103,970,894.59/327,400.92
  6. Step 6: Final answer
    x = 247,720.66

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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.