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Finding the Fourth Proportional to 393,474, 542,994.12 and 214,626

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Solution

The fourth proportional to 393,474, 542,994.12 and 214,626 is: 296,183.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,474 : 542,994.12 = 214,626 : x
  2. Step 2: Convert to fraction form
    393,474/542,994.12 = 214,626/x
  3. Step 3: Cross multiply
    393,474x = 542,994.12 × 214,626
  4. Step 4: Simplify right side
    393,474x = 116,540,655,999.12
  5. Step 5: Solve for x
    x = 116,540,655,999.12/393,474
  6. Step 6: Final answer
    x = 296,183.88

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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.