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Finding the Fourth Proportional to 299,744.82, 413,832.33 and 192,503.85

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Solution

The fourth proportional to 299,744.82, 413,832.33 and 192,503.85 is: 265,773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,744.82 : 413,832.33 = 192,503.85 : x
  2. Step 2: Convert to fraction form
    299,744.82/413,832.33 = 192,503.85/x
  3. Step 3: Cross multiply
    299,744.82x = 413,832.33 × 192,503.85
  4. Step 4: Simplify right side
    299,744.82x = 79,664,316,779.47
  5. Step 5: Solve for x
    x = 79,664,316,779.47/299,744.82
  6. Step 6: Final answer
    x = 265,773.79

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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.