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Finding the Fourth Proportional to 422,462.33, 582,994.21 and 228,865.60

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Solution

The fourth proportional to 422,462.33, 582,994.21 and 228,865.60 is: 315,832.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,462.33 : 582,994.21 = 228,865.60 : x
  2. Step 2: Convert to fraction form
    422,462.33/582,994.21 = 228,865.60/x
  3. Step 3: Cross multiply
    422,462.33x = 582,994.21 × 228,865.60
  4. Step 4: Simplify right side
    422,462.33x = 133,427,320,253.88
  5. Step 5: Solve for x
    x = 133,427,320,253.88/422,462.33
  6. Step 6: Final answer
    x = 315,832.46

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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.