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Finding the Fourth Proportional to 542,766.83, 814,152.33 and 227,002.23

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Solution

The fourth proportional to 542,766.83, 814,152.33 and 227,002.23 is: 340,504.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,766.83 : 814,152.33 = 227,002.23 : x
  2. Step 2: Convert to fraction form
    542,766.83/814,152.33 = 227,002.23/x
  3. Step 3: Cross multiply
    542,766.83x = 814,152.33 × 227,002.23
  4. Step 4: Simplify right side
    542,766.83x = 184,814,394,469.70
  5. Step 5: Solve for x
    x = 184,814,394,469.70/542,766.83
  6. Step 6: Final answer
    x = 340,504.22

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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.