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Finding the Fourth Proportional to 543,314.34, 814,786.89 and 188,245.46

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Solution

The fourth proportional to 543,314.34, 814,786.89 and 188,245.46 is: 282,304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,314.34 : 814,786.89 = 188,245.46 : x
  2. Step 2: Convert to fraction form
    543,314.34/814,786.89 = 188,245.46/x
  3. Step 3: Cross multiply
    543,314.34x = 814,786.89 × 188,245.46
  4. Step 4: Simplify right side
    543,314.34x = 153,379,932,910.02
  5. Step 5: Solve for x
    x = 153,379,932,910.02/543,314.34
  6. Step 6: Final answer
    x = 282,304.22

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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.