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Finding the Fourth Proportional to 422,013.26, 632,887.65 and 122,514.54

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Solution

The fourth proportional to 422,013.26, 632,887.65 and 122,514.54 is: 183,733.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,013.26 : 632,887.65 = 122,514.54 : x
  2. Step 2: Convert to fraction form
    422,013.26/632,887.65 = 122,514.54/x
  3. Step 3: Cross multiply
    422,013.26x = 632,887.65 × 122,514.54
  4. Step 4: Simplify right side
    422,013.26x = 77,537,939,311.43
  5. Step 5: Solve for x
    x = 77,537,939,311.43/422,013.26
  6. Step 6: Final answer
    x = 183,733.42

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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.