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Finding the Fourth Proportional to 231,855.41, 321,597.41 and 225,709.94

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Solution

The fourth proportional to 231,855.41, 321,597.41 and 225,709.94 is: 313,073.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,855.41 : 321,597.41 = 225,709.94 : x
  2. Step 2: Convert to fraction form
    231,855.41/321,597.41 = 225,709.94/x
  3. Step 3: Cross multiply
    231,855.41x = 321,597.41 × 225,709.94
  4. Step 4: Simplify right side
    231,855.41x = 72,587,732,115.26
  5. Step 5: Solve for x
    x = 72,587,732,115.26/231,855.41
  6. Step 6: Final answer
    x = 313,073.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.