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Finding the Fourth Proportional to 298,299.20, 411,648.57 and 164,163.20

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Solution

The fourth proportional to 298,299.20, 411,648.57 and 164,163.20 is: 226,542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,299.20 : 411,648.57 = 164,163.20 : x
  2. Step 2: Convert to fraction form
    298,299.20/411,648.57 = 164,163.20/x
  3. Step 3: Cross multiply
    298,299.20x = 411,648.57 × 164,163.20
  4. Step 4: Simplify right side
    298,299.20x = 67,577,544,468.38
  5. Step 5: Solve for x
    x = 67,577,544,468.38/298,299.20
  6. Step 6: Final answer
    x = 226,542.83

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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.