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Finding the Fourth Proportional to 569,151.24, 853,760.28 and 214,168.32

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Solution

The fourth proportional to 569,151.24, 853,760.28 and 214,168.32 is: 321,265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,151.24 : 853,760.28 = 214,168.32 : x
  2. Step 2: Convert to fraction form
    569,151.24/853,760.28 = 214,168.32/x
  3. Step 3: Cross multiply
    569,151.24x = 853,760.28 × 214,168.32
  4. Step 4: Simplify right side
    569,151.24x = 182,848,404,850.33
  5. Step 5: Solve for x
    x = 182,848,404,850.33/569,151.24
  6. Step 6: Final answer
    x = 321,265.06

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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.