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Finding the Fourth Proportional to 327,084.40, 490,626.60 and 280,428.40

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Solution

The fourth proportional to 327,084.40, 490,626.60 and 280,428.40 is: 420,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,084.40 : 490,626.60 = 280,428.40 : x
  2. Step 2: Convert to fraction form
    327,084.40/490,626.60 = 280,428.40/x
  3. Step 3: Cross multiply
    327,084.40x = 490,626.60 × 280,428.40
  4. Step 4: Simplify right side
    327,084.40x = 137,585,632,435.44
  5. Step 5: Solve for x
    x = 137,585,632,435.44/327,084.40
  6. Step 6: Final answer
    x = 420,642.60

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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.