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Finding the Fourth Proportional to 422,166.23, 582,588.62 and 228,573.90

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Solution

The fourth proportional to 422,166.23, 582,588.62 and 228,573.90 is: 315,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,166.23 : 582,588.62 = 228,573.90 : x
  2. Step 2: Convert to fraction form
    422,166.23/582,588.62 = 228,573.90/x
  3. Step 3: Cross multiply
    422,166.23x = 582,588.62 × 228,573.90
  4. Step 4: Simplify right side
    422,166.23x = 133,164,552,683.30
  5. Step 5: Solve for x
    x = 133,164,552,683.30/422,166.23
  6. Step 6: Final answer
    x = 315,431.56

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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.