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Finding the Fourth Proportional to 275,233.20, 412,849.80 and 200,000.40

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Solution

The fourth proportional to 275,233.20, 412,849.80 and 200,000.40 is: 300,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,233.20 : 412,849.80 = 200,000.40 : x
  2. Step 2: Convert to fraction form
    275,233.20/412,849.80 = 200,000.40/x
  3. Step 3: Cross multiply
    275,233.20x = 412,849.80 × 200,000.40
  4. Step 4: Simplify right side
    275,233.20x = 82,570,125,139.92
  5. Step 5: Solve for x
    x = 82,570,125,139.92/275,233.20
  6. Step 6: Final answer
    x = 300,000.60

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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.