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Finding the Fourth Proportional to 649,560.33, 974,277.85 and 200,160.53

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Solution

The fourth proportional to 649,560.33, 974,277.85 and 200,160.53 is: 300,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,560.33 : 974,277.85 = 200,160.53 : x
  2. Step 2: Convert to fraction form
    649,560.33/974,277.85 = 200,160.53/x
  3. Step 3: Cross multiply
    649,560.33x = 974,277.85 × 200,160.53
  4. Step 4: Simplify right side
    649,560.33x = 195,011,972,758.55
  5. Step 5: Solve for x
    x = 195,011,972,758.55/649,560.33
  6. Step 6: Final answer
    x = 300,221.49

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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.