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Finding the Fourth Proportional to 229,658.48, 344,494.20 and 63,446.48

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Solution

The fourth proportional to 229,658.48, 344,494.20 and 63,446.48 is: 95,171.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,658.48 : 344,494.20 = 63,446.48 : x
  2. Step 2: Convert to fraction form
    229,658.48/344,494.20 = 63,446.48/x
  3. Step 3: Cross multiply
    229,658.48x = 344,494.20 × 63,446.48
  4. Step 4: Simplify right side
    229,658.48x = 21,856,944,370.42
  5. Step 5: Solve for x
    x = 21,856,944,370.42/229,658.48
  6. Step 6: Final answer
    x = 95,171.51

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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.