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Finding the Fourth Proportional to 299,297.86, 449,104.43 and 173,026.78

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Solution

The fourth proportional to 299,297.86, 449,104.43 and 173,026.78 is: 259,631.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,297.86 : 449,104.43 = 173,026.78 : x
  2. Step 2: Convert to fraction form
    299,297.86/449,104.43 = 173,026.78/x
  3. Step 3: Cross multiply
    299,297.86x = 449,104.43 × 173,026.78
  4. Step 4: Simplify right side
    299,297.86x = 77,707,091,743.17
  5. Step 5: Solve for x
    x = 77,707,091,743.17/299,297.86
  6. Step 6: Final answer
    x = 259,631.30

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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.