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Finding the Fourth Proportional to 269,974.40, 404,961.60 and 120,214.40

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Solution

The fourth proportional to 269,974.40, 404,961.60 and 120,214.40 is: 180,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,974.40 : 404,961.60 = 120,214.40 : x
  2. Step 2: Convert to fraction form
    269,974.40/404,961.60 = 120,214.40/x
  3. Step 3: Cross multiply
    269,974.40x = 404,961.60 × 120,214.40
  4. Step 4: Simplify right side
    269,974.40x = 48,682,215,767.04
  5. Step 5: Solve for x
    x = 48,682,215,767.04/269,974.40
  6. Step 6: Final answer
    x = 180,321.60

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1.5x scale

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.