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Finding the Fourth Proportional to 306,227.26, 422,596.23 and 198,837.82

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Solution

The fourth proportional to 306,227.26, 422,596.23 and 198,837.82 is: 274,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,227.26 : 422,596.23 = 198,837.82 : x
  2. Step 2: Convert to fraction form
    306,227.26/422,596.23 = 198,837.82/x
  3. Step 3: Cross multiply
    306,227.26x = 422,596.23 × 198,837.82
  4. Step 4: Simplify right side
    306,227.26x = 84,028,113,113.42
  5. Step 5: Solve for x
    x = 84,028,113,113.42/306,227.26
  6. Step 6: Final answer
    x = 274,397.89

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