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Finding the Fourth Proportional to 275,251.82, 412,294.50 and 207,950.54

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Solution

The fourth proportional to 275,251.82, 412,294.50 and 207,950.54 is: 311,485.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,251.82 : 412,294.50 = 207,950.54 : x
  2. Step 2: Convert to fraction form
    275,251.82/412,294.50 = 207,950.54/x
  3. Step 3: Cross multiply
    275,251.82x = 412,294.50 × 207,950.54
  4. Step 4: Simplify right side
    275,251.82x = 85,736,863,914.03
  5. Step 5: Solve for x
    x = 85,736,863,914.03/275,251.82
  6. Step 6: Final answer
    x = 311,485.18

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Why These Related Problems?

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