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Finding the Fourth Proportional to 644,676.51, 967,013.70 and 171,361.87

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Solution

The fourth proportional to 644,676.51, 967,013.70 and 171,361.87 is: 257,042.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,676.51 : 967,013.70 = 171,361.87 : x
  2. Step 2: Convert to fraction form
    644,676.51/967,013.70 = 171,361.87/x
  3. Step 3: Cross multiply
    644,676.51x = 967,013.70 × 171,361.87
  4. Step 4: Simplify right side
    644,676.51x = 165,709,275,947.62
  5. Step 5: Solve for x
    x = 165,709,275,947.62/644,676.51
  6. Step 6: Final answer
    x = 257,042.52

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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.