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Finding the Fourth Proportional to 542,797.70, 814,198.65 and 227,033.11

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Solution

The fourth proportional to 542,797.70, 814,198.65 and 227,033.11 is: 340,550.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,797.70 : 814,198.65 = 227,033.11 : x
  2. Step 2: Convert to fraction form
    542,797.70/814,198.65 = 227,033.11/x
  3. Step 3: Cross multiply
    542,797.70x = 814,198.65 × 227,033.11
  4. Step 4: Simplify right side
    542,797.70x = 184,850,046,461.14
  5. Step 5: Solve for x
    x = 184,850,046,461.14/542,797.70
  6. Step 6: Final answer
    x = 340,550.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.