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Finding the Fourth Proportional to 460,604.56, 690,382.72 and 280,292.30

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Solution

The fourth proportional to 460,604.56, 690,382.72 and 280,292.30 is: 420,119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,604.56 : 690,382.72 = 280,292.30 : x
  2. Step 2: Convert to fraction form
    460,604.56/690,382.72 = 280,292.30/x
  3. Step 3: Cross multiply
    460,604.56x = 690,382.72 × 280,292.30
  4. Step 4: Simplify right side
    460,604.56x = 193,508,960,469.06
  5. Step 5: Solve for x
    x = 193,508,960,469.06/460,604.56
  6. Step 6: Final answer
    x = 420,119.51

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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.