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Finding the Fourth Proportional to 422,113.08, 632,164.50 and 244,245.24

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Solution

The fourth proportional to 422,113.08, 632,164.50 and 244,245.24 is: 365,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,113.08 : 632,164.50 = 244,245.24 : x
  2. Step 2: Convert to fraction form
    422,113.08/632,164.50 = 244,245.24/x
  3. Step 3: Cross multiply
    422,113.08x = 632,164.50 × 244,245.24
  4. Step 4: Simplify right side
    422,113.08x = 154,403,170,021.98
  5. Step 5: Solve for x
    x = 154,403,170,021.98/422,113.08
  6. Step 6: Final answer
    x = 365,786.27

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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.