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Finding the Fourth Proportional to 327,358.47, 491,157.64 and 137,866.53

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Solution

The fourth proportional to 327,358.47, 491,157.64 and 137,866.53 is: 206,850.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,358.47 : 491,157.64 = 137,866.53 : x
  2. Step 2: Convert to fraction form
    327,358.47/491,157.64 = 137,866.53/x
  3. Step 3: Cross multiply
    327,358.47x = 491,157.64 × 137,866.53
  4. Step 4: Simplify right side
    327,358.47x = 67,714,199,165.12
  5. Step 5: Solve for x
    x = 67,714,199,165.12/327,358.47
  6. Step 6: Final answer
    x = 206,850.30

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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.