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Finding the Fourth Proportional to 234,660.82, 351,408.02 and 214,751.82

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Solution

The fourth proportional to 234,660.82, 351,408.02 and 214,751.82 is: 321,594.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,660.82 : 351,408.02 = 214,751.82 : x
  2. Step 2: Convert to fraction form
    234,660.82/351,408.02 = 214,751.82/x
  3. Step 3: Cross multiply
    234,660.82x = 351,408.02 × 214,751.82
  4. Step 4: Simplify right side
    234,660.82x = 75,465,511,857.60
  5. Step 5: Solve for x
    x = 75,465,511,857.60/234,660.82
  6. Step 6: Final answer
    x = 321,594.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.