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Finding the Fourth Proportional to 644,671.94, 967,006.86 and 171,357.31

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Solution

The fourth proportional to 644,671.94, 967,006.86 and 171,357.31 is: 257,035.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,671.94 : 967,006.86 = 171,357.31 : x
  2. Step 2: Convert to fraction form
    644,671.94/967,006.86 = 171,357.31/x
  3. Step 3: Cross multiply
    644,671.94x = 967,006.86 × 171,357.31
  4. Step 4: Simplify right side
    644,671.94x = 165,703,691,221.04
  5. Step 5: Solve for x
    x = 165,703,691,221.04/644,671.94
  6. Step 6: Final answer
    x = 257,035.68

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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.