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Finding the Fourth Proportional to 422,127.97, 582,537.56 and 228,537.72

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Solution

The fourth proportional to 422,127.97, 582,537.56 and 228,537.72 is: 315,382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,127.97 : 582,537.56 = 228,537.72 : x
  2. Step 2: Convert to fraction form
    422,127.97/582,537.56 = 228,537.72/x
  3. Step 3: Cross multiply
    422,127.97x = 582,537.56 × 228,537.72
  4. Step 4: Simplify right side
    422,127.97x = 133,131,804,634.08
  5. Step 5: Solve for x
    x = 133,131,804,634.08/422,127.97
  6. Step 6: Final answer
    x = 315,382.57

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1.5x scale

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.