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Finding the Fourth Proportional to 394,071, 543,817.98 and 215,223

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Solution

The fourth proportional to 394,071, 543,817.98 and 215,223 is: 297,007.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,071 : 543,817.98 = 215,223 : x
  2. Step 2: Convert to fraction form
    394,071/543,817.98 = 215,223/x
  3. Step 3: Cross multiply
    394,071x = 543,817.98 × 215,223
  4. Step 4: Simplify right side
    394,071x = 117,042,137,109.54
  5. Step 5: Solve for x
    x = 117,042,137,109.54/394,071
  6. Step 6: Final answer
    x = 297,007.74

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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.