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Finding the Fourth Proportional to 412,414.20, 619,082.10 and 385,342.20

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Solution

The fourth proportional to 412,414.20, 619,082.10 and 385,342.20 is: 578,443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,414.20 : 619,082.10 = 385,342.20 : x
  2. Step 2: Convert to fraction form
    412,414.20/619,082.10 = 385,342.20/x
  3. Step 3: Cross multiply
    412,414.20x = 619,082.10 × 385,342.20
  4. Step 4: Simplify right side
    412,414.20x = 238,558,458,394.62
  5. Step 5: Solve for x
    x = 238,558,458,394.62/412,414.20
  6. Step 6: Final answer
    x = 578,443.85

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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.