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Finding the Fourth Proportional to 513,896.39, 770,578.97 and 225,590.03

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Solution

The fourth proportional to 513,896.39, 770,578.97 and 225,590.03 is: 338,268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,896.39 : 770,578.97 = 225,590.03 : x
  2. Step 2: Convert to fraction form
    513,896.39/770,578.97 = 225,590.03/x
  3. Step 3: Cross multiply
    513,896.39x = 770,578.97 × 225,590.03
  4. Step 4: Simplify right side
    513,896.39x = 173,834,929,670.75
  5. Step 5: Solve for x
    x = 173,834,929,670.75/513,896.39
  6. Step 6: Final answer
    x = 338,268.44

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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.