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Finding the Fourth Proportional to 327,708.92, 491,062.63 and 220,697.19

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Solution

The fourth proportional to 327,708.92, 491,062.63 and 220,697.19 is: 330,708.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,708.92 : 491,062.63 = 220,697.19 : x
  2. Step 2: Convert to fraction form
    327,708.92/491,062.63 = 220,697.19/x
  3. Step 3: Cross multiply
    327,708.92x = 491,062.63 × 220,697.19
  4. Step 4: Simplify right side
    327,708.92x = 108,376,141,451.52
  5. Step 5: Solve for x
    x = 108,376,141,451.52/327,708.92
  6. Step 6: Final answer
    x = 330,708.55

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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.