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Finding the Fourth Proportional to 394,125, 543,892.56 and 215,277

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Solution

The fourth proportional to 394,125, 543,892.56 and 215,277 is: 297,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,125 : 543,892.56 = 215,277 : x
  2. Step 2: Convert to fraction form
    394,125/543,892.56 = 215,277/x
  3. Step 3: Cross multiply
    394,125x = 543,892.56 × 215,277
  4. Step 4: Simplify right side
    394,125x = 117,087,558,639.12
  5. Step 5: Solve for x
    x = 117,087,558,639.12/394,125
  6. Step 6: Final answer
    x = 297,082.29

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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.