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Finding the Fourth Proportional to 269,409.40, 404,891.70 and 264,743.80

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Solution

The fourth proportional to 269,409.40, 404,891.70 and 264,743.80 is: 397,879.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,409.40 : 404,891.70 = 264,743.80 : x
  2. Step 2: Convert to fraction form
    269,409.40/404,891.70 = 264,743.80/x
  3. Step 3: Cross multiply
    269,409.40x = 404,891.70 × 264,743.80
  4. Step 4: Simplify right side
    269,409.40x = 107,192,567,246.46
  5. Step 5: Solve for x
    x = 107,192,567,246.46/269,409.40
  6. Step 6: Final answer
    x = 397,879.83

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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.