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Finding the Fourth Proportional to 296,469.92, 409,125.55 and 160,500.27

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Solution

The fourth proportional to 296,469.92, 409,125.55 and 160,500.27 is: 221,488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,469.92 : 409,125.55 = 160,500.27 : x
  2. Step 2: Convert to fraction form
    296,469.92/409,125.55 = 160,500.27/x
  3. Step 3: Cross multiply
    296,469.92x = 409,125.55 × 160,500.27
  4. Step 4: Simplify right side
    296,469.92x = 65,664,761,238.90
  5. Step 5: Solve for x
    x = 65,664,761,238.90/296,469.92
  6. Step 6: Final answer
    x = 221,488.78

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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.