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Finding the Fourth Proportional to 412,193.80, 569,105.13 and 257,380.85

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Solution

The fourth proportional to 412,193.80, 569,105.13 and 257,380.85 is: 355,358.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,193.80 : 569,105.13 = 257,380.85 : x
  2. Step 2: Convert to fraction form
    412,193.80/569,105.13 = 257,380.85/x
  3. Step 3: Cross multiply
    412,193.80x = 569,105.13 × 257,380.85
  4. Step 4: Simplify right side
    412,193.80x = 146,476,763,477.30
  5. Step 5: Solve for x
    x = 146,476,763,477.30/412,193.80
  6. Step 6: Final answer
    x = 355,358.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.