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Finding the Fourth Proportional to 644,874.34, 967,310.34 and 171,559.69

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Solution

The fourth proportional to 644,874.34, 967,310.34 and 171,559.69 is: 257,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,874.34 : 967,310.34 = 171,559.69 : x
  2. Step 2: Convert to fraction form
    644,874.34/967,310.34 = 171,559.69/x
  3. Step 3: Cross multiply
    644,874.34x = 967,310.34 × 171,559.69
  4. Step 4: Simplify right side
    644,874.34x = 165,951,462,064.20
  5. Step 5: Solve for x
    x = 165,951,462,064.20/644,874.34
  6. Step 6: Final answer
    x = 257,339.22

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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.