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Finding the Fourth Proportional to 412,370.20, 619,016.10 and 385,298.20

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Solution

The fourth proportional to 412,370.20, 619,016.10 and 385,298.20 is: 578,377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,370.20 : 619,016.10 = 385,298.20 : x
  2. Step 2: Convert to fraction form
    412,370.20/619,016.10 = 385,298.20/x
  3. Step 3: Cross multiply
    412,370.20x = 619,016.10 × 385,298.20
  4. Step 4: Simplify right side
    412,370.20x = 238,505,789,101.02
  5. Step 5: Solve for x
    x = 238,505,789,101.02/412,370.20
  6. Step 6: Final answer
    x = 578,377.85

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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.