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Finding the Fourth Proportional to 311,964.96, 430,511.67 and 168,724.97

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Solution

The fourth proportional to 311,964.96, 430,511.67 and 168,724.97 is: 232,840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,964.96 : 430,511.67 = 168,724.97 : x
  2. Step 2: Convert to fraction form
    311,964.96/430,511.67 = 168,724.97/x
  3. Step 3: Cross multiply
    311,964.96x = 430,511.67 × 168,724.97
  4. Step 4: Simplify right side
    311,964.96x = 72,638,068,605.40
  5. Step 5: Solve for x
    x = 72,638,068,605.40/311,964.96
  6. Step 6: Final answer
    x = 232,840.47

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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.