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Finding the Fourth Proportional to 367,230.82, 506,782.30 and 203,890

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Solution

The fourth proportional to 367,230.82, 506,782.30 and 203,890 is: 281,370.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,230.82 : 506,782.30 = 203,890 : x
  2. Step 2: Convert to fraction form
    367,230.82/506,782.30 = 203,890/x
  3. Step 3: Cross multiply
    367,230.82x = 506,782.30 × 203,890
  4. Step 4: Simplify right side
    367,230.82x = 103,327,843,147
  5. Step 5: Solve for x
    x = 103,327,843,147/367,230.82
  6. Step 6: Final answer
    x = 281,370.29

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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.