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Finding the Fourth Proportional to 298,348.92, 411,721.56 and 164,212.92

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Solution

The fourth proportional to 298,348.92, 411,721.56 and 164,212.92 is: 226,613.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,348.92 : 411,721.56 = 164,212.92 : x
  2. Step 2: Convert to fraction form
    298,348.92/411,721.56 = 164,212.92/x
  3. Step 3: Cross multiply
    298,348.92x = 411,721.56 × 164,212.92
  4. Step 4: Simplify right side
    298,348.92x = 67,609,999,594.56
  5. Step 5: Solve for x
    x = 67,609,999,594.56/298,348.92
  6. Step 6: Final answer
    x = 226,613.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.