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Finding the Fourth Proportional to 378,328.35, 567,344.97 and 165,161.46

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Solution

The fourth proportional to 378,328.35, 567,344.97 and 165,161.46 is: 247,677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,328.35 : 567,344.97 = 165,161.46 : x
  2. Step 2: Convert to fraction form
    378,328.35/567,344.97 = 165,161.46/x
  3. Step 3: Cross multiply
    378,328.35x = 567,344.97 × 165,161.46
  4. Step 4: Simplify right side
    378,328.35x = 93,703,523,568.86
  5. Step 5: Solve for x
    x = 93,703,523,568.86/378,328.35
  6. Step 6: Final answer
    x = 247,677.77

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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.