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Finding the Fourth Proportional to 327,042, 451,343.22 and 196,224.56

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Solution

The fourth proportional to 327,042, 451,343.22 and 196,224.56 is: 270,805.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,042 : 451,343.22 = 196,224.56 : x
  2. Step 2: Convert to fraction form
    327,042/451,343.22 = 196,224.56/x
  3. Step 3: Cross multiply
    327,042x = 451,343.22 × 196,224.56
  4. Step 4: Simplify right side
    327,042x = 88,564,622,496.77
  5. Step 5: Solve for x
    x = 88,564,622,496.77/327,042
  6. Step 6: Final answer
    x = 270,805.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.