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Finding the Fourth Proportional to 369,846.24, 510,382.82 and 206,505.27

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Solution

The fourth proportional to 369,846.24, 510,382.82 and 206,505.27 is: 284,974.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,846.24 : 510,382.82 = 206,505.27 : x
  2. Step 2: Convert to fraction form
    369,846.24/510,382.82 = 206,505.27/x
  3. Step 3: Cross multiply
    369,846.24x = 510,382.82 × 206,505.27
  4. Step 4: Simplify right side
    369,846.24x = 105,396,741,014.94
  5. Step 5: Solve for x
    x = 105,396,741,014.94/369,846.24
  6. Step 6: Final answer
    x = 284,974.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.