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Finding the Fourth Proportional to 275,932.98, 414,189.05 and 244,543.86

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Solution

The fourth proportional to 275,932.98, 414,189.05 and 244,543.86 is: 367,072.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,932.98 : 414,189.05 = 244,543.86 : x
  2. Step 2: Convert to fraction form
    275,932.98/414,189.05 = 244,543.86/x
  3. Step 3: Cross multiply
    275,932.98x = 414,189.05 × 244,543.86
  4. Step 4: Simplify right side
    275,932.98x = 101,287,387,834.01
  5. Step 5: Solve for x
    x = 101,287,387,834.01/275,932.98
  6. Step 6: Final answer
    x = 367,072.42

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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.