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Finding the Fourth Proportional to 649,718.57, 974,669.39 and 200,475.96

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Solution

The fourth proportional to 649,718.57, 974,669.39 and 200,475.96 is: 300,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,718.57 : 974,669.39 = 200,475.96 : x
  2. Step 2: Convert to fraction form
    649,718.57/974,669.39 = 200,475.96/x
  3. Step 3: Cross multiply
    649,718.57x = 974,669.39 × 200,475.96
  4. Step 4: Simplify right side
    649,718.57x = 195,397,780,640.49
  5. Step 5: Solve for x
    x = 195,397,780,640.49/649,718.57
  6. Step 6: Final answer
    x = 300,742.18

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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.