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Finding the Fourth Proportional to 723,414.13, 998,219.76 and 396,641.20

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Solution

The fourth proportional to 723,414.13, 998,219.76 and 396,641.20 is: 547,314.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,414.13 : 998,219.76 = 396,641.20 : x
  2. Step 2: Convert to fraction form
    723,414.13/998,219.76 = 396,641.20/x
  3. Step 3: Cross multiply
    723,414.13x = 998,219.76 × 396,641.20
  4. Step 4: Simplify right side
    723,414.13x = 395,935,083,470.11
  5. Step 5: Solve for x
    x = 395,935,083,470.11/723,414.13
  6. Step 6: Final answer
    x = 547,314.56

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1.5x scale

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.