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Finding the Fourth Proportional to 393,523.85, 543,060.41 and 223,757.97

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Solution

The fourth proportional to 393,523.85, 543,060.41 and 223,757.97 is: 308,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,523.85 : 543,060.41 = 223,757.97 : x
  2. Step 2: Convert to fraction form
    393,523.85/543,060.41 = 223,757.97/x
  3. Step 3: Cross multiply
    393,523.85x = 543,060.41 × 223,757.97
  4. Step 4: Simplify right side
    393,523.85x = 121,514,093,810.18
  5. Step 5: Solve for x
    x = 121,514,093,810.18/393,523.85
  6. Step 6: Final answer
    x = 308,784.58

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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.