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Finding the Fourth Proportional to 297,974.80, 446,616.60 and 120,365.20

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Solution

The fourth proportional to 297,974.80, 446,616.60 and 120,365.20 is: 180,408.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,974.80 : 446,616.60 = 120,365.20 : x
  2. Step 2: Convert to fraction form
    297,974.80/446,616.60 = 120,365.20/x
  3. Step 3: Cross multiply
    297,974.80x = 446,616.60 × 120,365.20
  4. Step 4: Simplify right side
    297,974.80x = 53,757,096,382.32
  5. Step 5: Solve for x
    x = 53,757,096,382.32/297,974.80
  6. Step 6: Final answer
    x = 180,408.20

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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.