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Finding the Fourth Proportional to 327,367.96, 491,049.96 and 84,208.66

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Solution

The fourth proportional to 327,367.96, 491,049.96 and 84,208.66 is: 126,312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,367.96 : 491,049.96 = 84,208.66 : x
  2. Step 2: Convert to fraction form
    327,367.96/491,049.96 = 84,208.66/x
  3. Step 3: Cross multiply
    327,367.96x = 491,049.96 × 84,208.66
  4. Step 4: Simplify right side
    327,367.96x = 41,350,659,124.65
  5. Step 5: Solve for x
    x = 41,350,659,124.65/327,367.96
  6. Step 6: Final answer
    x = 126,312.48

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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.