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Finding the Fourth Proportional to 420,340.46, 580,120 and 239,079.74

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Solution

The fourth proportional to 420,340.46, 580,120 and 239,079.74 is: 329,958.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,340.46 : 580,120 = 239,079.74 : x
  2. Step 2: Convert to fraction form
    420,340.46/580,120 = 239,079.74/x
  3. Step 3: Cross multiply
    420,340.46x = 580,120 × 239,079.74
  4. Step 4: Simplify right side
    420,340.46x = 138,694,938,768.80
  5. Step 5: Solve for x
    x = 138,694,938,768.80/420,340.46
  6. Step 6: Final answer
    x = 329,958.57

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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.