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Finding the Fourth Proportional to 484,211.44, 726,310.24 and 217,782.96

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Solution

The fourth proportional to 484,211.44, 726,310.24 and 217,782.96 is: 326,671.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,211.44 : 726,310.24 = 217,782.96 : x
  2. Step 2: Convert to fraction form
    484,211.44/726,310.24 = 217,782.96/x
  3. Step 3: Cross multiply
    484,211.44x = 726,310.24 × 217,782.96
  4. Step 4: Simplify right side
    484,211.44x = 158,177,993,945.51
  5. Step 5: Solve for x
    x = 158,177,993,945.51/484,211.44
  6. Step 6: Final answer
    x = 326,671.33

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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.