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Finding the Fourth Proportional to 394,468.29, 544,366.40 and 213,180.17

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Solution

The fourth proportional to 394,468.29, 544,366.40 and 213,180.17 is: 294,188.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,468.29 : 544,366.40 = 213,180.17 : x
  2. Step 2: Convert to fraction form
    394,468.29/544,366.40 = 213,180.17/x
  3. Step 3: Cross multiply
    394,468.29x = 544,366.40 × 213,180.17
  4. Step 4: Simplify right side
    394,468.29x = 116,048,117,906.56
  5. Step 5: Solve for x
    x = 116,048,117,906.56/394,468.29
  6. Step 6: Final answer
    x = 294,188.71

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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.