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Finding the Fourth Proportional to 822,414.40, 1,234,082.40 and 349,019.20

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Solution

The fourth proportional to 822,414.40, 1,234,082.40 and 349,019.20 is: 523,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,414.40 : 1,234,082.40 = 349,019.20 : x
  2. Step 2: Convert to fraction form
    822,414.40/1,234,082.40 = 349,019.20/x
  3. Step 3: Cross multiply
    822,414.40x = 1,234,082.40 × 349,019.20
  4. Step 4: Simplify right side
    822,414.40x = 430,718,451,982.08
  5. Step 5: Solve for x
    x = 430,718,451,982.08/822,414.40
  6. Step 6: Final answer
    x = 523,724.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.