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Finding the Fourth Proportional to 409,408.50, 614,223.32 and 125,091.30

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Solution

The fourth proportional to 409,408.50, 614,223.32 and 125,091.30 is: 187,670.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,408.50 : 614,223.32 = 125,091.30 : x
  2. Step 2: Convert to fraction form
    409,408.50/614,223.32 = 125,091.30/x
  3. Step 3: Cross multiply
    409,408.50x = 614,223.32 × 125,091.30
  4. Step 4: Simplify right side
    409,408.50x = 76,833,993,589.12
  5. Step 5: Solve for x
    x = 76,833,993,589.12/409,408.50
  6. Step 6: Final answer
    x = 187,670.73

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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.