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Finding the Fourth Proportional to 327,796.68, 491,704.38 and 178,108.68

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Solution

The fourth proportional to 327,796.68, 491,704.38 and 178,108.68 is: 267,168.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,796.68 : 491,704.38 = 178,108.68 : x
  2. Step 2: Convert to fraction form
    327,796.68/491,704.38 = 178,108.68/x
  3. Step 3: Cross multiply
    327,796.68x = 491,704.38 × 178,108.68
  4. Step 4: Simplify right side
    327,796.68x = 87,576,818,072.02
  5. Step 5: Solve for x
    x = 87,576,818,072.02/327,796.68
  6. Step 6: Final answer
    x = 267,168.11

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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.