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Finding the Fourth Proportional to 269,402.20, 404,103.30 and 174,923.80

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Solution

The fourth proportional to 269,402.20, 404,103.30 and 174,923.80 is: 262,385.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,402.20 : 404,103.30 = 174,923.80 : x
  2. Step 2: Convert to fraction form
    269,402.20/404,103.30 = 174,923.80/x
  3. Step 3: Cross multiply
    269,402.20x = 404,103.30 × 174,923.80
  4. Step 4: Simplify right side
    269,402.20x = 70,687,284,828.54
  5. Step 5: Solve for x
    x = 70,687,284,828.54/269,402.20
  6. Step 6: Final answer
    x = 262,385.70

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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.