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Finding the Fourth Proportional to 274,738.40, 412,107.60 and 168,450.20

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Solution

The fourth proportional to 274,738.40, 412,107.60 and 168,450.20 is: 252,675.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,738.40 : 412,107.60 = 168,450.20 : x
  2. Step 2: Convert to fraction form
    274,738.40/412,107.60 = 168,450.20/x
  3. Step 3: Cross multiply
    274,738.40x = 412,107.60 × 168,450.20
  4. Step 4: Simplify right side
    274,738.40x = 69,419,607,641.52
  5. Step 5: Solve for x
    x = 69,419,607,641.52/274,738.40
  6. Step 6: Final answer
    x = 252,675.30

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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.