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Finding the Fourth Proportional to 408,033.40, 612,049.17 and 108,514.06

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Solution

The fourth proportional to 408,033.40, 612,049.17 and 108,514.06 is: 162,770.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,033.40 : 612,049.17 = 108,514.06 : x
  2. Step 2: Convert to fraction form
    408,033.40/612,049.17 = 108,514.06/x
  3. Step 3: Cross multiply
    408,033.40x = 612,049.17 × 108,514.06
  4. Step 4: Simplify right side
    408,033.40x = 66,415,940,356.33
  5. Step 5: Solve for x
    x = 66,415,940,356.33/408,033.40
  6. Step 6: Final answer
    x = 162,770.84

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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.