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Finding the Fourth Proportional to 420,463.40, 580,722.18 and 306,250.88

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Solution

The fourth proportional to 420,463.40, 580,722.18 and 306,250.88 is: 422,977.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,463.40 : 580,722.18 = 306,250.88 : x
  2. Step 2: Convert to fraction form
    420,463.40/580,722.18 = 306,250.88/x
  3. Step 3: Cross multiply
    420,463.40x = 580,722.18 × 306,250.88
  4. Step 4: Simplify right side
    420,463.40x = 177,846,678,660.52
  5. Step 5: Solve for x
    x = 177,846,678,660.52/420,463.40
  6. Step 6: Final answer
    x = 422,977.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.