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Finding the Fourth Proportional to 327,851.96, 491,734.88 and 103,213.58

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Solution

The fourth proportional to 327,851.96, 491,734.88 and 103,213.58 is: 154,806.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,851.96 : 491,734.88 = 103,213.58 : x
  2. Step 2: Convert to fraction form
    327,851.96/491,734.88 = 103,213.58/x
  3. Step 3: Cross multiply
    327,851.96x = 491,734.88 × 103,213.58
  4. Step 4: Simplify right side
    327,851.96x = 50,753,715,368.56
  5. Step 5: Solve for x
    x = 50,753,715,368.56/327,851.96
  6. Step 6: Final answer
    x = 154,806.81

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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.