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Finding the Fourth Proportional to 649,551.80, 974,327.70 and 200,232.65

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Solution

The fourth proportional to 649,551.80, 974,327.70 and 200,232.65 is: 300,348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,551.80 : 974,327.70 = 200,232.65 : x
  2. Step 2: Convert to fraction form
    649,551.80/974,327.70 = 200,232.65/x
  3. Step 3: Cross multiply
    649,551.80x = 974,327.70 × 200,232.65
  4. Step 4: Simplify right side
    649,551.80x = 195,092,217,339.41
  5. Step 5: Solve for x
    x = 195,092,217,339.41/649,551.80
  6. Step 6: Final answer
    x = 300,348.98

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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.