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Finding the Fourth Proportional to 376,103.56, 518,896.66 and 214,844.44

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Solution

The fourth proportional to 376,103.56, 518,896.66 and 214,844.44 is: 296,413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,103.56 : 518,896.66 = 214,844.44 : x
  2. Step 2: Convert to fraction form
    376,103.56/518,896.66 = 214,844.44/x
  3. Step 3: Cross multiply
    376,103.56x = 518,896.66 × 214,844.44
  4. Step 4: Simplify right side
    376,103.56x = 111,482,062,335.57
  5. Step 5: Solve for x
    x = 111,482,062,335.57/376,103.56
  6. Step 6: Final answer
    x = 296,413.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.