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Finding the Fourth Proportional to 394,138.86, 543,911.58 and 212,850.81

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Solution

The fourth proportional to 394,138.86, 543,911.58 and 212,850.81 is: 293,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,138.86 : 543,911.58 = 212,850.81 : x
  2. Step 2: Convert to fraction form
    394,138.86/543,911.58 = 212,850.81/x
  3. Step 3: Cross multiply
    394,138.86x = 543,911.58 × 212,850.81
  4. Step 4: Simplify right side
    394,138.86x = 115,772,020,371.38
  5. Step 5: Solve for x
    x = 115,772,020,371.38/394,138.86
  6. Step 6: Final answer
    x = 293,734.09

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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.