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Finding the Fourth Proportional to 378,412.50, 568,261.50 and 252,859.44

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Solution

The fourth proportional to 378,412.50, 568,261.50 and 252,859.44 is: 379,718.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,412.50 : 568,261.50 = 252,859.44 : x
  2. Step 2: Convert to fraction form
    378,412.50/568,261.50 = 252,859.44/x
  3. Step 3: Cross multiply
    378,412.50x = 568,261.50 × 252,859.44
  4. Step 4: Simplify right side
    378,412.50x = 143,690,284,663.56
  5. Step 5: Solve for x
    x = 143,690,284,663.56/378,412.50
  6. Step 6: Final answer
    x = 379,718.65

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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.