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Finding the Fourth Proportional to 311,828.90, 430,324.94 and 168,589.97

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Solution

The fourth proportional to 311,828.90, 430,324.94 and 168,589.97 is: 232,654.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,828.90 : 430,324.94 = 168,589.97 : x
  2. Step 2: Convert to fraction form
    311,828.90/430,324.94 = 168,589.97/x
  3. Step 3: Cross multiply
    311,828.90x = 430,324.94 × 168,589.97
  4. Step 4: Simplify right side
    311,828.90x = 72,548,465,730.28
  5. Step 5: Solve for x
    x = 72,548,465,730.28/311,828.90
  6. Step 6: Final answer
    x = 232,654.72

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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.