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Finding the Fourth Proportional to 569,149.26, 853,757.28 and 214,166.34

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Solution

The fourth proportional to 569,149.26, 853,757.28 and 214,166.34 is: 321,262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,149.26 : 853,757.28 = 214,166.34 : x
  2. Step 2: Convert to fraction form
    569,149.26/853,757.28 = 214,166.34/x
  3. Step 3: Cross multiply
    569,149.26x = 853,757.28 × 214,166.34
  4. Step 4: Simplify right side
    569,149.26x = 182,846,071,905.96
  5. Step 5: Solve for x
    x = 182,846,071,905.96/569,149.26
  6. Step 6: Final answer
    x = 321,262.07

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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.