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Finding the Fourth Proportional to 422,127.87, 582,537.43 and 228,537.62

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Solution

The fourth proportional to 422,127.87, 582,537.43 and 228,537.62 is: 315,382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,127.87 : 582,537.43 = 228,537.62 : x
  2. Step 2: Convert to fraction form
    422,127.87/582,537.43 = 228,537.62/x
  3. Step 3: Cross multiply
    422,127.87x = 582,537.43 × 228,537.62
  4. Step 4: Simplify right side
    422,127.87x = 133,131,717,684.27
  5. Step 5: Solve for x
    x = 133,131,717,684.27/422,127.87
  6. Step 6: Final answer
    x = 315,382.44

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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.