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Finding the Fourth Proportional to 363,414.80, 545,705.40 and 274,768.40

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Solution

The fourth proportional to 363,414.80, 545,705.40 and 274,768.40 is: 412,593.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,414.80 : 545,705.40 = 274,768.40 : x
  2. Step 2: Convert to fraction form
    363,414.80/545,705.40 = 274,768.40/x
  3. Step 3: Cross multiply
    363,414.80x = 545,705.40 × 274,768.40
  4. Step 4: Simplify right side
    363,414.80x = 149,942,599,629.36
  5. Step 5: Solve for x
    x = 149,942,599,629.36/363,414.80
  6. Step 6: Final answer
    x = 412,593.54

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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.