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Finding the Fourth Proportional to 644,691.33, 967,035.96 and 171,376.74

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Solution

The fourth proportional to 644,691.33, 967,035.96 and 171,376.74 is: 257,064.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,691.33 : 967,035.96 = 171,376.74 : x
  2. Step 2: Convert to fraction form
    644,691.33/967,035.96 = 171,376.74/x
  3. Step 3: Cross multiply
    644,691.33x = 967,035.96 × 171,376.74
  4. Step 4: Simplify right side
    644,691.33x = 165,727,470,287.57
  5. Step 5: Solve for x
    x = 165,727,470,287.57/644,691.33
  6. Step 6: Final answer
    x = 257,064.83

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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.