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Finding the Fourth Proportional to 394,182.22, 543,971.32 and 212,894.10

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Solution

The fourth proportional to 394,182.22, 543,971.32 and 212,894.10 is: 293,793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,182.22 : 543,971.32 = 212,894.10 : x
  2. Step 2: Convert to fraction form
    394,182.22/543,971.32 = 212,894.10/x
  3. Step 3: Cross multiply
    394,182.22x = 543,971.32 × 212,894.10
  4. Step 4: Simplify right side
    394,182.22x = 115,808,284,597.21
  5. Step 5: Solve for x
    x = 115,808,284,597.21/394,182.22
  6. Step 6: Final answer
    x = 293,793.78

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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.