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Finding the Fourth Proportional to 397,745.75, 596,380.68 and 269,819.27

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Solution

The fourth proportional to 397,745.75, 596,380.68 and 269,819.27 is: 404,567.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,745.75 : 596,380.68 = 269,819.27 : x
  2. Step 2: Convert to fraction form
    397,745.75/596,380.68 = 269,819.27/x
  3. Step 3: Cross multiply
    397,745.75x = 596,380.68 × 269,819.27
  4. Step 4: Simplify right side
    397,745.75x = 160,914,999,719.70
  5. Step 5: Solve for x
    x = 160,914,999,719.70/397,745.75
  6. Step 6: Final answer
    x = 404,567.49

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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.