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Finding the Fourth Proportional to 327,903.39, 491,991.17 and 157,039.16

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Solution

The fourth proportional to 327,903.39, 491,991.17 and 157,039.16 is: 235,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,903.39 : 491,991.17 = 157,039.16 : x
  2. Step 2: Convert to fraction form
    327,903.39/491,991.17 = 157,039.16/x
  3. Step 3: Cross multiply
    327,903.39x = 491,991.17 × 157,039.16
  4. Step 4: Simplify right side
    327,903.39x = 77,261,876,819.07
  5. Step 5: Solve for x
    x = 77,261,876,819.07/327,903.39
  6. Step 6: Final answer
    x = 235,623.90

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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.