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Finding the Fourth Proportional to 393,524.86, 543,061.80 and 223,759

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Solution

The fourth proportional to 393,524.86, 543,061.80 and 223,759 is: 308,785.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,524.86 : 543,061.80 = 223,759 : x
  2. Step 2: Convert to fraction form
    393,524.86/543,061.80 = 223,759/x
  3. Step 3: Cross multiply
    393,524.86x = 543,061.80 × 223,759
  4. Step 4: Simplify right side
    393,524.86x = 121,514,965,306.20
  5. Step 5: Solve for x
    x = 121,514,965,306.20/393,524.86
  6. Step 6: Final answer
    x = 308,785.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.