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Finding the Fourth Proportional to 422,400.72, 582,838.96 and 241,029.84

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Solution

The fourth proportional to 422,400.72, 582,838.96 and 241,029.84 is: 332,578.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,400.72 : 582,838.96 = 241,029.84 : x
  2. Step 2: Convert to fraction form
    422,400.72/582,838.96 = 241,029.84/x
  3. Step 3: Cross multiply
    422,400.72x = 582,838.96 × 241,029.84
  4. Step 4: Simplify right side
    422,400.72x = 140,481,581,274.57
  5. Step 5: Solve for x
    x = 140,481,581,274.57/422,400.72
  6. Step 6: Final answer
    x = 332,578.93

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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.