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Finding the Fourth Proportional to 327,077.94, 490,610.79 and 178,265.28

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Solution

The fourth proportional to 327,077.94, 490,610.79 and 178,265.28 is: 267,394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,077.94 : 490,610.79 = 178,265.28 : x
  2. Step 2: Convert to fraction form
    327,077.94/490,610.79 = 178,265.28/x
  3. Step 3: Cross multiply
    327,077.94x = 490,610.79 × 178,265.28
  4. Step 4: Simplify right side
    327,077.94x = 87,458,869,850.37
  5. Step 5: Solve for x
    x = 87,458,869,850.37/327,077.94
  6. Step 6: Final answer
    x = 267,394.58

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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.