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Finding the Fourth Proportional to 502,744.10, 693,791.36 and 273,301.82

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Solution

The fourth proportional to 502,744.10, 693,791.36 and 273,301.82 is: 377,158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,744.10 : 693,791.36 = 273,301.82 : x
  2. Step 2: Convert to fraction form
    502,744.10/693,791.36 = 273,301.82/x
  3. Step 3: Cross multiply
    502,744.10x = 693,791.36 × 273,301.82
  4. Step 4: Simplify right side
    502,744.10x = 189,614,441,388.28
  5. Step 5: Solve for x
    x = 189,614,441,388.28/502,744.10
  6. Step 6: Final answer
    x = 377,158.96

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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.