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Finding the Fourth Proportional to 569,212.70, 853,819.06 and 214,306.34

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Solution

The fourth proportional to 569,212.70, 853,819.06 and 214,306.34 is: 321,459.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,212.70 : 853,819.06 = 214,306.34 : x
  2. Step 2: Convert to fraction form
    569,212.70/853,819.06 = 214,306.34/x
  3. Step 3: Cross multiply
    569,212.70x = 853,819.06 × 214,306.34
  4. Step 4: Simplify right side
    569,212.70x = 182,978,837,770.84
  5. Step 5: Solve for x
    x = 182,978,837,770.84/569,212.70
  6. Step 6: Final answer
    x = 321,459.51

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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.