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Finding the Fourth Proportional to 420,464.40, 580,723.56 and 306,251.88

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Solution

The fourth proportional to 420,464.40, 580,723.56 and 306,251.88 is: 422,979.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,464.40 : 580,723.56 = 306,251.88 : x
  2. Step 2: Convert to fraction form
    420,464.40/580,723.56 = 306,251.88/x
  3. Step 3: Cross multiply
    420,464.40x = 580,723.56 × 306,251.88
  4. Step 4: Simplify right side
    420,464.40x = 177,847,682,010.29
  5. Step 5: Solve for x
    x = 177,847,682,010.29/420,464.40
  6. Step 6: Final answer
    x = 422,979.17

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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.