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Finding the Fourth Proportional to 320,852.26, 442,582.41 and 206,092.27

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Solution

The fourth proportional to 320,852.26, 442,582.41 and 206,092.27 is: 284,282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,852.26 : 442,582.41 = 206,092.27 : x
  2. Step 2: Convert to fraction form
    320,852.26/442,582.41 = 206,092.27/x
  3. Step 3: Cross multiply
    320,852.26x = 442,582.41 × 206,092.27
  4. Step 4: Simplify right side
    320,852.26x = 91,212,813,538.97
  5. Step 5: Solve for x
    x = 91,212,813,538.97/320,852.26
  6. Step 6: Final answer
    x = 284,282.91

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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.