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Finding the Fourth Proportional to 269,405.90, 404,108.85 and 164,429.90

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Solution

The fourth proportional to 269,405.90, 404,108.85 and 164,429.90 is: 246,644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,405.90 : 404,108.85 = 164,429.90 : x
  2. Step 2: Convert to fraction form
    269,405.90/404,108.85 = 164,429.90/x
  3. Step 3: Cross multiply
    269,405.90x = 404,108.85 × 164,429.90
  4. Step 4: Simplify right side
    269,405.90x = 66,447,577,794.62
  5. Step 5: Solve for x
    x = 66,447,577,794.62/269,405.90
  6. Step 6: Final answer
    x = 246,644.85

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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.