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Finding the Fourth Proportional to 298,625.80, 412,103.52 and 164,489.80

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Solution

The fourth proportional to 298,625.80, 412,103.52 and 164,489.80 is: 226,995.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,625.80 : 412,103.52 = 164,489.80 : x
  2. Step 2: Convert to fraction form
    298,625.80/412,103.52 = 164,489.80/x
  3. Step 3: Cross multiply
    298,625.80x = 412,103.52 × 164,489.80
  4. Step 4: Simplify right side
    298,625.80x = 67,786,825,584.10
  5. Step 5: Solve for x
    x = 67,786,825,584.10/298,625.80
  6. Step 6: Final answer
    x = 226,995.88

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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.