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Finding the Fourth Proportional to 213,487.94, 320,231.49 and 200,497.16

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Solution

The fourth proportional to 213,487.94, 320,231.49 and 200,497.16 is: 300,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,487.94 : 320,231.49 = 200,497.16 : x
  2. Step 2: Convert to fraction form
    213,487.94/320,231.49 = 200,497.16/x
  3. Step 3: Cross multiply
    213,487.94x = 320,231.49 × 200,497.16
  4. Step 4: Simplify right side
    213,487.94x = 64,205,504,287.57
  5. Step 5: Solve for x
    x = 64,205,504,287.57/213,487.94
  6. Step 6: Final answer
    x = 300,745.35

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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.