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Finding the Fourth Proportional to 489,067.67, 733,461.29 and 164,820.44

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Solution

The fourth proportional to 489,067.67, 733,461.29 and 164,820.44 is: 247,183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,067.67 : 733,461.29 = 164,820.44 : x
  2. Step 2: Convert to fraction form
    489,067.67/733,461.29 = 164,820.44/x
  3. Step 3: Cross multiply
    489,067.67x = 733,461.29 × 164,820.44
  4. Step 4: Simplify right side
    489,067.67x = 120,889,413,550.32
  5. Step 5: Solve for x
    x = 120,889,413,550.32/489,067.67
  6. Step 6: Final answer
    x = 247,183.41

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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.