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Finding the Fourth Proportional to 327,900.24, 491,753.16 and 140,868

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Solution

The fourth proportional to 327,900.24, 491,753.16 and 140,868 is: 211,260.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,900.24 : 491,753.16 = 140,868 : x
  2. Step 2: Convert to fraction form
    327,900.24/491,753.16 = 140,868/x
  3. Step 3: Cross multiply
    327,900.24x = 491,753.16 × 140,868
  4. Step 4: Simplify right side
    327,900.24x = 69,272,284,142.88
  5. Step 5: Solve for x
    x = 69,272,284,142.88/327,900.24
  6. Step 6: Final answer
    x = 211,260.24

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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.