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Finding the Fourth Proportional to 649,493.40, 974,067.30 and 200,213.40

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Solution

The fourth proportional to 649,493.40, 974,067.30 and 200,213.40 is: 300,266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,493.40 : 974,067.30 = 200,213.40 : x
  2. Step 2: Convert to fraction form
    649,493.40/974,067.30 = 200,213.40/x
  3. Step 3: Cross multiply
    649,493.40x = 974,067.30 × 200,213.40
  4. Step 4: Simplify right side
    649,493.40x = 195,021,325,961.82
  5. Step 5: Solve for x
    x = 195,021,325,961.82/649,493.40
  6. Step 6: Final answer
    x = 300,266.83

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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.