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Finding the Fourth Proportional to 286,398, 395,229.27 and 159,085.44

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Solution

The fourth proportional to 286,398, 395,229.27 and 159,085.44 is: 219,537.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,398 : 395,229.27 = 159,085.44 : x
  2. Step 2: Convert to fraction form
    286,398/395,229.27 = 159,085.44/x
  3. Step 3: Cross multiply
    286,398x = 395,229.27 × 159,085.44
  4. Step 4: Simplify right side
    286,398x = 62,875,222,318.83
  5. Step 5: Solve for x
    x = 62,875,222,318.83/286,398
  6. Step 6: Final answer
    x = 219,537.92

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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.