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Finding the Fourth Proportional to 408,290.74, 612,396.51 and 123,983.76

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Solution

The fourth proportional to 408,290.74, 612,396.51 and 123,983.76 is: 185,963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,290.74 : 612,396.51 = 123,983.76 : x
  2. Step 2: Convert to fraction form
    408,290.74/612,396.51 = 123,983.76/x
  3. Step 3: Cross multiply
    408,290.74x = 612,396.51 × 123,983.76
  4. Step 4: Simplify right side
    408,290.74x = 75,927,221,920.68
  5. Step 5: Solve for x
    x = 75,927,221,920.68/408,290.74
  6. Step 6: Final answer
    x = 185,963.61

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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.