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Finding the Fourth Proportional to 547,649.38, 821,496.84 and 188,067.34

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Solution

The fourth proportional to 547,649.38, 821,496.84 and 188,067.34 is: 282,108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,649.38 : 821,496.84 = 188,067.34 : x
  2. Step 2: Convert to fraction form
    547,649.38/821,496.84 = 188,067.34/x
  3. Step 3: Cross multiply
    547,649.38x = 821,496.84 × 188,067.34
  4. Step 4: Simplify right side
    547,649.38x = 154,496,725,517.21
  5. Step 5: Solve for x
    x = 154,496,725,517.21/547,649.38
  6. Step 6: Final answer
    x = 282,108.83

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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.