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Finding the Fourth Proportional to 310,414.78, 465,523.75 and 132,874.12

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Solution

The fourth proportional to 310,414.78, 465,523.75 and 132,874.12 is: 199,269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,414.78 : 465,523.75 = 132,874.12 : x
  2. Step 2: Convert to fraction form
    310,414.78/465,523.75 = 132,874.12/x
  3. Step 3: Cross multiply
    310,414.78x = 465,523.75 × 132,874.12
  4. Step 4: Simplify right side
    310,414.78x = 61,856,058,620.35
  5. Step 5: Solve for x
    x = 61,856,058,620.35/310,414.78
  6. Step 6: Final answer
    x = 199,269.05

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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.