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Finding the Fourth Proportional to 394,692.38, 592,001.42 and 110,408.30

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Solution

The fourth proportional to 394,692.38, 592,001.42 and 110,408.30 is: 165,602.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,692.38 : 592,001.42 = 110,408.30 : x
  2. Step 2: Convert to fraction form
    394,692.38/592,001.42 = 110,408.30/x
  3. Step 3: Cross multiply
    394,692.38x = 592,001.42 × 110,408.30
  4. Step 4: Simplify right side
    394,692.38x = 65,361,870,379.79
  5. Step 5: Solve for x
    x = 65,361,870,379.79/394,692.38
  6. Step 6: Final answer
    x = 165,602.06

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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.