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Finding the Fourth Proportional to 321,202.53, 443,058.93 and 206,630.73

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Solution

The fourth proportional to 321,202.53, 443,058.93 and 206,630.73 is: 285,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,202.53 : 443,058.93 = 206,630.73 : x
  2. Step 2: Convert to fraction form
    321,202.53/443,058.93 = 206,630.73/x
  3. Step 3: Cross multiply
    321,202.53x = 443,058.93 × 206,630.73
  4. Step 4: Simplify right side
    321,202.53x = 91,549,590,138.92
  5. Step 5: Solve for x
    x = 91,549,590,138.92/321,202.53
  6. Step 6: Final answer
    x = 285,021.39

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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.