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Finding the Fourth Proportional to 297,704.82, 446,571.82 and 120,189.68

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Solution

The fourth proportional to 297,704.82, 446,571.82 and 120,189.68 is: 180,290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,704.82 : 446,571.82 = 120,189.68 : x
  2. Step 2: Convert to fraction form
    297,704.82/446,571.82 = 120,189.68/x
  3. Step 3: Cross multiply
    297,704.82x = 446,571.82 × 120,189.68
  4. Step 4: Simplify right side
    297,704.82x = 53,673,324,142.82
  5. Step 5: Solve for x
    x = 53,673,324,142.82/297,704.82
  6. Step 6: Final answer
    x = 180,290.41

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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.