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Finding the Fourth Proportional to 306,198.42, 422,577.39 and 170,243.57

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Solution

The fourth proportional to 306,198.42, 422,577.39 and 170,243.57 is: 234,949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,198.42 : 422,577.39 = 170,243.57 : x
  2. Step 2: Convert to fraction form
    306,198.42/422,577.39 = 170,243.57/x
  3. Step 3: Cross multiply
    306,198.42x = 422,577.39 × 170,243.57
  4. Step 4: Simplify right side
    306,198.42x = 71,941,080,510.78
  5. Step 5: Solve for x
    x = 71,941,080,510.78/306,198.42
  6. Step 6: Final answer
    x = 234,949.22

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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.