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Finding the Fourth Proportional to 381,682.80, 572,524.20 and 222,031.80

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Solution

The fourth proportional to 381,682.80, 572,524.20 and 222,031.80 is: 333,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,682.80 : 572,524.20 = 222,031.80 : x
  2. Step 2: Convert to fraction form
    381,682.80/572,524.20 = 222,031.80/x
  3. Step 3: Cross multiply
    381,682.80x = 572,524.20 × 222,031.80
  4. Step 4: Simplify right side
    381,682.80x = 127,118,578,669.56
  5. Step 5: Solve for x
    x = 127,118,578,669.56/381,682.80
  6. Step 6: Final answer
    x = 333,047.70

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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.