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Finding the Fourth Proportional to 412,066.97, 618,311.24 and 196,169.67

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Solution

The fourth proportional to 412,066.97, 618,311.24 and 196,169.67 is: 294,354.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,066.97 : 618,311.24 = 196,169.67 : x
  2. Step 2: Convert to fraction form
    412,066.97/618,311.24 = 196,169.67/x
  3. Step 3: Cross multiply
    412,066.97x = 618,311.24 × 196,169.67
  4. Step 4: Simplify right side
    412,066.97x = 121,293,910,927.24
  5. Step 5: Solve for x
    x = 121,293,910,927.24/412,066.97
  6. Step 6: Final answer
    x = 294,354.85

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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.