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Finding the Fourth Proportional to 327,804.73, 491,791.61 and 178,006.57

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Solution

The fourth proportional to 327,804.73, 491,791.61 and 178,006.57 is: 267,055.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,804.73 : 491,791.61 = 178,006.57 : x
  2. Step 2: Convert to fraction form
    327,804.73/491,791.61 = 178,006.57/x
  3. Step 3: Cross multiply
    327,804.73x = 491,791.61 × 178,006.57
  4. Step 4: Simplify right side
    327,804.73x = 87,542,137,650.88
  5. Step 5: Solve for x
    x = 87,542,137,650.88/327,804.73
  6. Step 6: Final answer
    x = 267,055.75

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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.