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Finding the Fourth Proportional to 230,576.29, 343,572.31 and 205,423.06

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Solution

The fourth proportional to 230,576.29, 343,572.31 and 205,423.06 is: 306,092.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,576.29 : 343,572.31 = 205,423.06 : x
  2. Step 2: Convert to fraction form
    230,576.29/343,572.31 = 205,423.06/x
  3. Step 3: Cross multiply
    230,576.29x = 343,572.31 × 205,423.06
  4. Step 4: Simplify right side
    230,576.29x = 70,577,675,251.47
  5. Step 5: Solve for x
    x = 70,577,675,251.47/230,576.29
  6. Step 6: Final answer
    x = 306,092.51

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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.