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Finding the Fourth Proportional to 327,362.44, 491,064.41 and 102,731.73

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Solution

The fourth proportional to 327,362.44, 491,064.41 and 102,731.73 is: 154,104.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,362.44 : 491,064.41 = 102,731.73 : x
  2. Step 2: Convert to fraction form
    327,362.44/491,064.41 = 102,731.73/x
  3. Step 3: Cross multiply
    327,362.44x = 491,064.41 × 102,731.73
  4. Step 4: Simplify right side
    327,362.44x = 50,447,896,637.56
  5. Step 5: Solve for x
    x = 50,447,896,637.56/327,362.44
  6. Step 6: Final answer
    x = 154,104.11

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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.