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Finding the Fourth Proportional to 422,518.25, 633,350.90 and 264,857.42

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Solution

The fourth proportional to 422,518.25, 633,350.90 and 264,857.42 is: 397,018.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,518.25 : 633,350.90 = 264,857.42 : x
  2. Step 2: Convert to fraction form
    422,518.25/633,350.90 = 264,857.42/x
  3. Step 3: Cross multiply
    422,518.25x = 633,350.90 × 264,857.42
  4. Step 4: Simplify right side
    422,518.25x = 167,747,682,824.07
  5. Step 5: Solve for x
    x = 167,747,682,824.07/422,518.25
  6. Step 6: Final answer
    x = 397,018.79

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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.