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Finding the Fourth Proportional to 265,414.20, 398,121.30 and 75,874.20

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Solution

The fourth proportional to 265,414.20, 398,121.30 and 75,874.20 is: 113,811.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,414.20 : 398,121.30 = 75,874.20 : x
  2. Step 2: Convert to fraction form
    265,414.20/398,121.30 = 75,874.20/x
  3. Step 3: Cross multiply
    265,414.20x = 398,121.30 × 75,874.20
  4. Step 4: Simplify right side
    265,414.20x = 30,207,135,140.46
  5. Step 5: Solve for x
    x = 30,207,135,140.46/265,414.20
  6. Step 6: Final answer
    x = 113,811.30

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1.5x scale

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.