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Finding the Fourth Proportional to 327,516.67, 491,108.82 and 149,871.45

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Solution

The fourth proportional to 327,516.67, 491,108.82 and 149,871.45 is: 224,731.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,516.67 : 491,108.82 = 149,871.45 : x
  2. Step 2: Convert to fraction form
    327,516.67/491,108.82 = 149,871.45/x
  3. Step 3: Cross multiply
    327,516.67x = 491,108.82 × 149,871.45
  4. Step 4: Simplify right side
    327,516.67x = 73,603,190,961.19
  5. Step 5: Solve for x
    x = 73,603,190,961.19/327,516.67
  6. Step 6: Final answer
    x = 224,731.13

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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.