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Finding the Fourth Proportional to 542,809.20, 814,215.87 and 227,044.65

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Solution

The fourth proportional to 542,809.20, 814,215.87 and 227,044.65 is: 340,567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,809.20 : 814,215.87 = 227,044.65 : x
  2. Step 2: Convert to fraction form
    542,809.20/814,215.87 = 227,044.65/x
  3. Step 3: Cross multiply
    542,809.20x = 814,215.87 × 227,044.65
  4. Step 4: Simplify right side
    542,809.20x = 184,863,357,228.60
  5. Step 5: Solve for x
    x = 184,863,357,228.60/542,809.20
  6. Step 6: Final answer
    x = 340,567.84

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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.