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Finding the Fourth Proportional to 1,682,782, 2,524,173 and 500,830

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Solution

The fourth proportional to 1,682,782, 2,524,173 and 500,830 is: 751,245

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,782 : 2,524,173 = 500,830 : x
  2. Step 2: Convert to fraction form
    1,682,782/2,524,173 = 500,830/x
  3. Step 3: Cross multiply
    1,682,782x = 2,524,173 × 500,830
  4. Step 4: Simplify right side
    1,682,782x = 1,264,181,563,590
  5. Step 5: Solve for x
    x = 1,264,181,563,590/1,682,782
  6. Step 6: Final answer
    x = 751,245

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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.