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Finding the Fourth Proportional to 397,324.80, 595,987.20 and 184,092.30

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Solution

The fourth proportional to 397,324.80, 595,987.20 and 184,092.30 is: 276,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,324.80 : 595,987.20 = 184,092.30 : x
  2. Step 2: Convert to fraction form
    397,324.80/595,987.20 = 184,092.30/x
  3. Step 3: Cross multiply
    397,324.80x = 595,987.20 × 184,092.30
  4. Step 4: Simplify right side
    397,324.80x = 109,716,654,418.56
  5. Step 5: Solve for x
    x = 109,716,654,418.56/397,324.80
  6. Step 6: Final answer
    x = 276,138.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.