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Finding the Fourth Proportional to 408,288.74, 612,393.51 and 123,981.76

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Solution

The fourth proportional to 408,288.74, 612,393.51 and 123,981.76 is: 185,960.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,288.74 : 612,393.51 = 123,981.76 : x
  2. Step 2: Convert to fraction form
    408,288.74/612,393.51 = 123,981.76/x
  3. Step 3: Cross multiply
    408,288.74x = 612,393.51 × 123,981.76
  4. Step 4: Simplify right side
    408,288.74x = 75,925,625,182.38
  5. Step 5: Solve for x
    x = 75,925,625,182.38/408,288.74
  6. Step 6: Final answer
    x = 185,960.61

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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.