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Finding the Fourth Proportional to 275,205.73, 412,410.19 and 189,728.85

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Solution

The fourth proportional to 275,205.73, 412,410.19 and 189,728.85 is: 284,318.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,205.73 : 412,410.19 = 189,728.85 : x
  2. Step 2: Convert to fraction form
    275,205.73/412,410.19 = 189,728.85/x
  3. Step 3: Cross multiply
    275,205.73x = 412,410.19 × 189,728.85
  4. Step 4: Simplify right side
    275,205.73x = 78,246,111,076.98
  5. Step 5: Solve for x
    x = 78,246,111,076.98/275,205.73
  6. Step 6: Final answer
    x = 284,318.61

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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.