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Finding the Fourth Proportional to 548,093.26, 820,971.87 and 263,365.30

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Solution

The fourth proportional to 548,093.26, 820,971.87 and 263,365.30 is: 394,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,093.26 : 820,971.87 = 263,365.30 : x
  2. Step 2: Convert to fraction form
    548,093.26/820,971.87 = 263,365.30/x
  3. Step 3: Cross multiply
    548,093.26x = 820,971.87 × 263,365.30
  4. Step 4: Simplify right side
    548,093.26x = 216,215,502,834.11
  5. Step 5: Solve for x
    x = 216,215,502,834.11/548,093.26
  6. Step 6: Final answer
    x = 394,486.70

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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.