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Finding the Fourth Proportional to 327,273.54, 451,692.92 and 189,432.48

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Solution

The fourth proportional to 327,273.54, 451,692.92 and 189,432.48 is: 261,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,273.54 : 451,692.92 = 189,432.48 : x
  2. Step 2: Convert to fraction form
    327,273.54/451,692.92 = 189,432.48/x
  3. Step 3: Cross multiply
    327,273.54x = 451,692.92 × 189,432.48
  4. Step 4: Simplify right side
    327,273.54x = 85,565,310,034.04
  5. Step 5: Solve for x
    x = 85,565,310,034.04/327,273.54
  6. Step 6: Final answer
    x = 261,448.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.