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Finding the Fourth Proportional to 649,868.75, 974,712.74 and 200,604.27

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Solution

The fourth proportional to 649,868.75, 974,712.74 and 200,604.27 is: 300,878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,868.75 : 974,712.74 = 200,604.27 : x
  2. Step 2: Convert to fraction form
    649,868.75/974,712.74 = 200,604.27/x
  3. Step 3: Cross multiply
    649,868.75x = 974,712.74 × 200,604.27
  4. Step 4: Simplify right side
    649,868.75x = 195,531,536,664.38
  5. Step 5: Solve for x
    x = 195,531,536,664.38/649,868.75
  6. Step 6: Final answer
    x = 300,878.51

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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.