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Finding the Fourth Proportional to 422,128.19, 582,537.86 and 228,537.94

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Solution

The fourth proportional to 422,128.19, 582,537.86 and 228,537.94 is: 315,382.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,128.19 : 582,537.86 = 228,537.94 : x
  2. Step 2: Convert to fraction form
    422,128.19/582,537.86 = 228,537.94/x
  3. Step 3: Cross multiply
    422,128.19x = 582,537.86 × 228,537.94
  4. Step 4: Simplify right side
    422,128.19x = 133,131,998,441.03
  5. Step 5: Solve for x
    x = 133,131,998,441.03/422,128.19
  6. Step 6: Final answer
    x = 315,382.87

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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.