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Finding the Fourth Proportional to 322,418.30, 483,632.10 and 122,749.64

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Solution

The fourth proportional to 322,418.30, 483,632.10 and 122,749.64 is: 184,126.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,418.30 : 483,632.10 = 122,749.64 : x
  2. Step 2: Convert to fraction form
    322,418.30/483,632.10 = 122,749.64/x
  3. Step 3: Cross multiply
    322,418.30x = 483,632.10 × 122,749.64
  4. Step 4: Simplify right side
    322,418.30x = 59,365,665,553.70
  5. Step 5: Solve for x
    x = 59,365,665,553.70/322,418.30
  6. Step 6: Final answer
    x = 184,126.23

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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.