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Finding the Fourth Proportional to 455,106, 682,659 and 122,682

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Solution

The fourth proportional to 455,106, 682,659 and 122,682 is: 184,023

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,106 : 682,659 = 122,682 : x
  2. Step 2: Convert to fraction form
    455,106/682,659 = 122,682/x
  3. Step 3: Cross multiply
    455,106x = 682,659 × 122,682
  4. Step 4: Simplify right side
    455,106x = 83,749,971,438
  5. Step 5: Solve for x
    x = 83,749,971,438/455,106
  6. Step 6: Final answer
    x = 184,023

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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.