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Finding the Fourth Proportional to 394,930.32, 592,408.56 and 114,450

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Solution

The fourth proportional to 394,930.32, 592,408.56 and 114,450 is: 171,678.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,930.32 : 592,408.56 = 114,450 : x
  2. Step 2: Convert to fraction form
    394,930.32/592,408.56 = 114,450/x
  3. Step 3: Cross multiply
    394,930.32x = 592,408.56 × 114,450
  4. Step 4: Simplify right side
    394,930.32x = 67,801,159,692.00
  5. Step 5: Solve for x
    x = 67,801,159,692.00/394,930.32
  6. Step 6: Final answer
    x = 171,678.79

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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.