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Finding the Fourth Proportional to 547,017.48, 820,348.86 and 182,181.96

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Solution

The fourth proportional to 547,017.48, 820,348.86 and 182,181.96 is: 273,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,017.48 : 820,348.86 = 182,181.96 : x
  2. Step 2: Convert to fraction form
    547,017.48/820,348.86 = 182,181.96/x
  3. Step 3: Cross multiply
    547,017.48x = 820,348.86 × 182,181.96
  4. Step 4: Simplify right side
    547,017.48x = 149,452,763,198.57
  5. Step 5: Solve for x
    x = 149,452,763,198.57/547,017.48
  6. Step 6: Final answer
    x = 273,213.87

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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.