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Finding the Fourth Proportional to 422,520.52, 633,354.06 and 264,859.48

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Solution

The fourth proportional to 422,520.52, 633,354.06 and 264,859.48 is: 397,021.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,520.52 : 633,354.06 = 264,859.48 : x
  2. Step 2: Convert to fraction form
    422,520.52/633,354.06 = 264,859.48/x
  3. Step 3: Cross multiply
    422,520.52x = 633,354.06 × 264,859.48
  4. Step 4: Simplify right side
    422,520.52x = 167,749,826,987.49
  5. Step 5: Solve for x
    x = 167,749,826,987.49/422,520.52
  6. Step 6: Final answer
    x = 397,021.73

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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.