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Finding the Fourth Proportional to 420,568.64, 580,377.24 and 239,276.68

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Solution

The fourth proportional to 420,568.64, 580,377.24 and 239,276.68 is: 330,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,568.64 : 580,377.24 = 239,276.68 : x
  2. Step 2: Convert to fraction form
    420,568.64/580,377.24 = 239,276.68/x
  3. Step 3: Cross multiply
    420,568.64x = 580,377.24 × 239,276.68
  4. Step 4: Simplify right side
    420,568.64x = 138,870,739,134.76
  5. Step 5: Solve for x
    x = 138,870,739,134.76/420,568.64
  6. Step 6: Final answer
    x = 330,197.56

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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.