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Finding the Fourth Proportional to 422,337.15, 582,358.24 and 269,132.67

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Solution

The fourth proportional to 422,337.15, 582,358.24 and 269,132.67 is: 371,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,337.15 : 582,358.24 = 269,132.67 : x
  2. Step 2: Convert to fraction form
    422,337.15/582,358.24 = 269,132.67/x
  3. Step 3: Cross multiply
    422,337.15x = 582,358.24 × 269,132.67
  4. Step 4: Simplify right side
    422,337.15x = 156,731,628,027.70
  5. Step 5: Solve for x
    x = 156,731,628,027.70/422,337.15
  6. Step 6: Final answer
    x = 371,105.47

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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.