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Finding the Fourth Proportional to 311,906.96, 430,431.75 and 168,667.10

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Solution

The fourth proportional to 311,906.96, 430,431.75 and 168,667.10 is: 232,760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,906.96 : 430,431.75 = 168,667.10 : x
  2. Step 2: Convert to fraction form
    311,906.96/430,431.75 = 168,667.10/x
  3. Step 3: Cross multiply
    311,906.96x = 430,431.75 × 168,667.10
  4. Step 4: Simplify right side
    311,906.96x = 72,599,675,020.43
  5. Step 5: Solve for x
    x = 72,599,675,020.43/311,906.96
  6. Step 6: Final answer
    x = 232,760.68

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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.