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Finding the Fourth Proportional to 1,682,766, 2,524,149 and 500,814

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Solution

The fourth proportional to 1,682,766, 2,524,149 and 500,814 is: 751,221

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,766 : 2,524,149 = 500,814 : x
  2. Step 2: Convert to fraction form
    1,682,766/2,524,149 = 500,814/x
  3. Step 3: Cross multiply
    1,682,766x = 2,524,149 × 500,814
  4. Step 4: Simplify right side
    1,682,766x = 1,264,129,157,286
  5. Step 5: Solve for x
    x = 1,264,129,157,286/1,682,766
  6. Step 6: Final answer
    x = 751,221

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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.