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Finding the Fourth Proportional to 1,082,766.50, 1,623,236.22 and 682,524.86

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Solution

The fourth proportional to 1,082,766.50, 1,623,236.22 and 682,524.86 is: 1,023,211.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,766.50 : 1,623,236.22 = 682,524.86 : x
  2. Step 2: Convert to fraction form
    1,082,766.50/1,623,236.22 = 682,524.86/x
  3. Step 3: Cross multiply
    1,082,766.50x = 1,623,236.22 × 682,524.86
  4. Step 4: Simplify right side
    1,082,766.50x = 1,107,899,073,802.43
  5. Step 5: Solve for x
    x = 1,107,899,073,802.43/1,082,766.50
  6. Step 6: Final answer
    x = 1,023,211.44

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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.