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Finding the Fourth Proportional to 306,086.83, 422,321.38 and 178,689.22

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Solution

The fourth proportional to 306,086.83, 422,321.38 and 178,689.22 is: 246,545.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,086.83 : 422,321.38 = 178,689.22 : x
  2. Step 2: Convert to fraction form
    306,086.83/422,321.38 = 178,689.22/x
  3. Step 3: Cross multiply
    306,086.83x = 422,321.38 × 178,689.22
  4. Step 4: Simplify right side
    306,086.83x = 75,464,277,981.52
  5. Step 5: Solve for x
    x = 75,464,277,981.52/306,086.83
  6. Step 6: Final answer
    x = 246,545.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.