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Finding the Fourth Proportional to 327,864.50, 491,452.16 and 150,225.42

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Solution

The fourth proportional to 327,864.50, 491,452.16 and 150,225.42 is: 225,180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,864.50 : 491,452.16 = 150,225.42 : x
  2. Step 2: Convert to fraction form
    327,864.50/491,452.16 = 150,225.42/x
  3. Step 3: Cross multiply
    327,864.50x = 491,452.16 × 150,225.42
  4. Step 4: Simplify right side
    327,864.50x = 73,828,606,394.78
  5. Step 5: Solve for x
    x = 73,828,606,394.78/327,864.50
  6. Step 6: Final answer
    x = 225,180.24

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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.