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Finding the Fourth Proportional to 327,707.92, 491,061.13 and 220,696.19

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Solution

The fourth proportional to 327,707.92, 491,061.13 and 220,696.19 is: 330,707.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,707.92 : 491,061.13 = 220,696.19 : x
  2. Step 2: Convert to fraction form
    327,707.92/491,061.13 = 220,696.19/x
  3. Step 3: Cross multiply
    327,707.92x = 491,061.13 × 220,696.19
  4. Step 4: Simplify right side
    327,707.92x = 108,375,320,448.10
  5. Step 5: Solve for x
    x = 108,375,320,448.10/327,707.92
  6. Step 6: Final answer
    x = 330,707.05

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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.