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Finding the Fourth Proportional to 327,610.82, 491,361.42 and 90,977.42

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Solution

The fourth proportional to 327,610.82, 491,361.42 and 90,977.42 is: 136,450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,610.82 : 491,361.42 = 90,977.42 : x
  2. Step 2: Convert to fraction form
    327,610.82/491,361.42 = 90,977.42/x
  3. Step 3: Cross multiply
    327,610.82x = 491,361.42 × 90,977.42
  4. Step 4: Simplify right side
    327,610.82x = 44,702,794,279.14
  5. Step 5: Solve for x
    x = 44,702,794,279.14/327,610.82
  6. Step 6: Final answer
    x = 136,450.91

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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.