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Finding the Fourth Proportional to 327,891.56, 491,854.88 and 103,269.50

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Solution

The fourth proportional to 327,891.56, 491,854.88 and 103,269.50 is: 154,909.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,891.56 : 491,854.88 = 103,269.50 : x
  2. Step 2: Convert to fraction form
    327,891.56/491,854.88 = 103,269.50/x
  3. Step 3: Cross multiply
    327,891.56x = 491,854.88 × 103,269.50
  4. Step 4: Simplify right side
    327,891.56x = 50,793,605,329.06
  5. Step 5: Solve for x
    x = 50,793,605,329.06/327,891.56
  6. Step 6: Final answer
    x = 154,909.77

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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.