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Finding the Fourth Proportional to 327,581.92, 490,460.46 and 167,310.82

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Solution

The fourth proportional to 327,581.92, 490,460.46 and 167,310.82 is: 250,500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,581.92 : 490,460.46 = 167,310.82 : x
  2. Step 2: Convert to fraction form
    327,581.92/490,460.46 = 167,310.82/x
  3. Step 3: Cross multiply
    327,581.92x = 490,460.46 × 167,310.82
  4. Step 4: Simplify right side
    327,581.92x = 82,059,341,740.18
  5. Step 5: Solve for x
    x = 82,059,341,740.18/327,581.92
  6. Step 6: Final answer
    x = 250,500.22

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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.