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Finding the Fourth Proportional to 422,053.48, 582,435.50 and 231,084.64

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Solution

The fourth proportional to 422,053.48, 582,435.50 and 231,084.64 is: 318,897.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,053.48 : 582,435.50 = 231,084.64 : x
  2. Step 2: Convert to fraction form
    422,053.48/582,435.50 = 231,084.64/x
  3. Step 3: Cross multiply
    422,053.48x = 582,435.50 × 231,084.64
  4. Step 4: Simplify right side
    422,053.48x = 134,591,897,840.72
  5. Step 5: Solve for x
    x = 134,591,897,840.72/422,053.48
  6. Step 6: Final answer
    x = 318,897.73

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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.