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Finding the Fourth Proportional to 466,517.40, 699,257.70 and 200,232.60

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Solution

The fourth proportional to 466,517.40, 699,257.70 and 200,232.60 is: 300,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,517.40 : 699,257.70 = 200,232.60 : x
  2. Step 2: Convert to fraction form
    466,517.40/699,257.70 = 200,232.60/x
  3. Step 3: Cross multiply
    466,517.40x = 699,257.70 × 200,232.60
  4. Step 4: Simplify right side
    466,517.40x = 140,014,187,341.02
  5. Step 5: Solve for x
    x = 140,014,187,341.02/466,517.40
  6. Step 6: Final answer
    x = 300,126.40

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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.