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Finding the Fourth Proportional to 381,678.80, 572,028.60 and 213,198.80

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Solution

The fourth proportional to 381,678.80, 572,028.60 and 213,198.80 is: 319,524.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,678.80 : 572,028.60 = 213,198.80 : x
  2. Step 2: Convert to fraction form
    381,678.80/572,028.60 = 213,198.80/x
  3. Step 3: Cross multiply
    381,678.80x = 572,028.60 × 213,198.80
  4. Step 4: Simplify right side
    381,678.80x = 121,955,811,085.68
  5. Step 5: Solve for x
    x = 121,955,811,085.68/381,678.80
  6. Step 6: Final answer
    x = 319,524.72

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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.