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Finding the Fourth Proportional to 327,919.28, 491,948.04 and 106,286

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Solution

The fourth proportional to 327,919.28, 491,948.04 and 106,286 is: 159,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,919.28 : 491,948.04 = 106,286 : x
  2. Step 2: Convert to fraction form
    327,919.28/491,948.04 = 106,286/x
  3. Step 3: Cross multiply
    327,919.28x = 491,948.04 × 106,286
  4. Step 4: Simplify right side
    327,919.28x = 52,287,189,379.44
  5. Step 5: Solve for x
    x = 52,287,189,379.44/327,919.28
  6. Step 6: Final answer
    x = 159,451.40

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Why These Related Problems?

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