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Finding the Fourth Proportional to 682,614, 1,023,921 and 183,978

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Solution

The fourth proportional to 682,614, 1,023,921 and 183,978 is: 275,967

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,614 : 1,023,921 = 183,978 : x
  2. Step 2: Convert to fraction form
    682,614/1,023,921 = 183,978/x
  3. Step 3: Cross multiply
    682,614x = 1,023,921 × 183,978
  4. Step 4: Simplify right side
    682,614x = 188,378,937,738
  5. Step 5: Solve for x
    x = 188,378,937,738/682,614
  6. Step 6: Final answer
    x = 275,967

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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.