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Finding the Fourth Proportional to 299,788.38, 413,668.13 and 192,503.75

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Solution

The fourth proportional to 299,788.38, 413,668.13 and 192,503.75 is: 265,629.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,788.38 : 413,668.13 = 192,503.75 : x
  2. Step 2: Convert to fraction form
    299,788.38/413,668.13 = 192,503.75/x
  3. Step 3: Cross multiply
    299,788.38x = 413,668.13 × 192,503.75
  4. Step 4: Simplify right side
    299,788.38x = 79,632,663,249.63
  5. Step 5: Solve for x
    x = 79,632,663,249.63/299,788.38
  6. Step 6: Final answer
    x = 265,629.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.