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Finding the Fourth Proportional to 681,640.80, 1,022,461.20 and 433,423.20

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Solution

The fourth proportional to 681,640.80, 1,022,461.20 and 433,423.20 is: 650,134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,640.80 : 1,022,461.20 = 433,423.20 : x
  2. Step 2: Convert to fraction form
    681,640.80/1,022,461.20 = 433,423.20/x
  3. Step 3: Cross multiply
    681,640.80x = 1,022,461.20 × 433,423.20
  4. Step 4: Simplify right side
    681,640.80x = 443,158,405,179.84
  5. Step 5: Solve for x
    x = 443,158,405,179.84/681,640.80
  6. Step 6: Final answer
    x = 650,134.80

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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.