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Finding the Fourth Proportional to 286,049.28, 428,992.11 and 115,270.50

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Solution

The fourth proportional to 286,049.28, 428,992.11 and 115,270.50 is: 172,872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,049.28 : 428,992.11 = 115,270.50 : x
  2. Step 2: Convert to fraction form
    286,049.28/428,992.11 = 115,270.50/x
  3. Step 3: Cross multiply
    286,049.28x = 428,992.11 × 115,270.50
  4. Step 4: Simplify right side
    286,049.28x = 49,450,135,015.76
  5. Step 5: Solve for x
    x = 49,450,135,015.76/286,049.28
  6. Step 6: Final answer
    x = 172,872.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.