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Finding the Fourth Proportional to 1,082,764.50, 1,623,233.22 and 682,522.86

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Solution

The fourth proportional to 1,082,764.50, 1,623,233.22 and 682,522.86 is: 1,023,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,764.50 : 1,623,233.22 = 682,522.86 : x
  2. Step 2: Convert to fraction form
    1,082,764.50/1,623,233.22 = 682,522.86/x
  3. Step 3: Cross multiply
    1,082,764.50x = 1,623,233.22 × 682,522.86
  4. Step 4: Simplify right side
    1,082,764.50x = 1,107,893,779,761.41
  5. Step 5: Solve for x
    x = 1,107,893,779,761.41/1,082,764.50
  6. Step 6: Final answer
    x = 1,023,208.44

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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.