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Finding the Fourth Proportional to 496,542.44, 744,230.36 and 229,739.24

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Solution

The fourth proportional to 496,542.44, 744,230.36 and 229,739.24 is: 344,338.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,542.44 : 744,230.36 = 229,739.24 : x
  2. Step 2: Convert to fraction form
    496,542.44/744,230.36 = 229,739.24/x
  3. Step 3: Cross multiply
    496,542.44x = 744,230.36 × 229,739.24
  4. Step 4: Simplify right side
    496,542.44x = 170,978,917,291.33
  5. Step 5: Solve for x
    x = 170,978,917,291.33/496,542.44
  6. Step 6: Final answer
    x = 344,338.98

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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.