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Finding the Fourth Proportional to 394,109, 543,872.58 and 215,261

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Solution

The fourth proportional to 394,109, 543,872.58 and 215,261 is: 297,061.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,109 : 543,872.58 = 215,261 : x
  2. Step 2: Convert to fraction form
    394,109/543,872.58 = 215,261/x
  3. Step 3: Cross multiply
    394,109x = 543,872.58 × 215,261
  4. Step 4: Simplify right side
    394,109x = 117,074,555,443.38
  5. Step 5: Solve for x
    x = 117,074,555,443.38/394,109
  6. Step 6: Final answer
    x = 297,061.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.