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Finding the Fourth Proportional to 311,919.96, 430,450.53 and 168,681

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Solution

The fourth proportional to 311,919.96, 430,450.53 and 168,681 is: 232,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,919.96 : 430,450.53 = 168,681 : x
  2. Step 2: Convert to fraction form
    311,919.96/430,450.53 = 168,681/x
  3. Step 3: Cross multiply
    311,919.96x = 430,450.53 × 168,681
  4. Step 4: Simplify right side
    311,919.96x = 72,608,825,850.93
  5. Step 5: Solve for x
    x = 72,608,825,850.93/311,919.96
  6. Step 6: Final answer
    x = 232,780.31

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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.