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Finding the Fourth Proportional to 381,647.80, 571,982.10 and 213,167.80

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Solution

The fourth proportional to 381,647.80, 571,982.10 and 213,167.80 is: 319,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,647.80 : 571,982.10 = 213,167.80 : x
  2. Step 2: Convert to fraction form
    381,647.80/571,982.10 = 213,167.80/x
  3. Step 3: Cross multiply
    381,647.80x = 571,982.10 × 213,167.80
  4. Step 4: Simplify right side
    381,647.80x = 121,928,165,896.38
  5. Step 5: Solve for x
    x = 121,928,165,896.38/381,647.80
  6. Step 6: Final answer
    x = 319,478.24

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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.