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Finding the Fourth Proportional to 306,226.26, 422,594.85 and 198,836.82

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Solution

The fourth proportional to 306,226.26, 422,594.85 and 198,836.82 is: 274,396.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,226.26 : 422,594.85 = 198,836.82 : x
  2. Step 2: Convert to fraction form
    306,226.26/422,594.85 = 198,836.82/x
  3. Step 3: Cross multiply
    306,226.26x = 422,594.85 × 198,836.82
  4. Step 4: Simplify right side
    306,226.26x = 84,027,416,122.38
  5. Step 5: Solve for x
    x = 84,027,416,122.38/306,226.26
  6. Step 6: Final answer
    x = 274,396.51

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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.