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Finding the Fourth Proportional to 422,233.88, 582,337.50 and 301,161.56

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Solution

The fourth proportional to 422,233.88, 582,337.50 and 301,161.56 is: 415,356.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,233.88 : 582,337.50 = 301,161.56 : x
  2. Step 2: Convert to fraction form
    422,233.88/582,337.50 = 301,161.56/x
  3. Step 3: Cross multiply
    422,233.88x = 582,337.50 × 301,161.56
  4. Step 4: Simplify right side
    422,233.88x = 175,377,669,946.50
  5. Step 5: Solve for x
    x = 175,377,669,946.50/422,233.88
  6. Step 6: Final answer
    x = 415,356.70

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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.