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Finding the Fourth Proportional to 230,578.82, 343,576.03 and 205,425.58

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Solution

The fourth proportional to 230,578.82, 343,576.03 and 205,425.58 is: 306,096.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,578.82 : 343,576.03 = 205,425.58 : x
  2. Step 2: Convert to fraction form
    230,578.82/343,576.03 = 205,425.58/x
  3. Step 3: Cross multiply
    230,578.82x = 343,576.03 × 205,425.58
  4. Step 4: Simplify right side
    230,578.82x = 70,579,305,236.85
  5. Step 5: Solve for x
    x = 70,579,305,236.85/230,578.82
  6. Step 6: Final answer
    x = 306,096.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.