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Finding the Fourth Proportional to 327,734.68, 491,589.66 and 135,604

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Solution

The fourth proportional to 327,734.68, 491,589.66 and 135,604 is: 203,400.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,734.68 : 491,589.66 = 135,604 : x
  2. Step 2: Convert to fraction form
    327,734.68/491,589.66 = 135,604/x
  3. Step 3: Cross multiply
    327,734.68x = 491,589.66 × 135,604
  4. Step 4: Simplify right side
    327,734.68x = 66,661,524,254.64
  5. Step 5: Solve for x
    x = 66,661,524,254.64/327,734.68
  6. Step 6: Final answer
    x = 203,400.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.