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Finding the Fourth Proportional to 394,165, 543,947.70 and 215,317

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Solution

The fourth proportional to 394,165, 543,947.70 and 215,317 is: 297,137.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,165 : 543,947.70 = 215,317 : x
  2. Step 2: Convert to fraction form
    394,165/543,947.70 = 215,317/x
  3. Step 3: Cross multiply
    394,165x = 543,947.70 × 215,317
  4. Step 4: Simplify right side
    394,165x = 117,121,186,920.90
  5. Step 5: Solve for x
    x = 117,121,186,920.90/394,165
  6. Step 6: Final answer
    x = 297,137.46

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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.