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Finding the Fourth Proportional to 649,385.40, 974,231.70 and 206,153.40

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Solution

The fourth proportional to 649,385.40, 974,231.70 and 206,153.40 is: 309,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,385.40 : 974,231.70 = 206,153.40 : x
  2. Step 2: Convert to fraction form
    649,385.40/974,231.70 = 206,153.40/x
  3. Step 3: Cross multiply
    649,385.40x = 974,231.70 × 206,153.40
  4. Step 4: Simplify right side
    649,385.40x = 200,841,177,342.78
  5. Step 5: Solve for x
    x = 200,841,177,342.78/649,385.40
  6. Step 6: Final answer
    x = 309,278.86

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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.