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Finding the Fourth Proportional to 422,286.37, 582,754.32 and 228,693.48

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Solution

The fourth proportional to 422,286.37, 582,754.32 and 228,693.48 is: 315,596.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,286.37 : 582,754.32 = 228,693.48 : x
  2. Step 2: Convert to fraction form
    422,286.37/582,754.32 = 228,693.48/x
  3. Step 3: Cross multiply
    422,286.37x = 582,754.32 × 228,693.48
  4. Step 4: Simplify right side
    422,286.37x = 133,272,113,425.83
  5. Step 5: Solve for x
    x = 133,272,113,425.83/422,286.37
  6. Step 6: Final answer
    x = 315,596.53

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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.