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Finding the Fourth Proportional to 569,023.56, 853,662.34 and 214,040.52

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Solution

The fourth proportional to 569,023.56, 853,662.34 and 214,040.52 is: 321,108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,023.56 : 853,662.34 = 214,040.52 : x
  2. Step 2: Convert to fraction form
    569,023.56/853,662.34 = 214,040.52/x
  3. Step 3: Cross multiply
    569,023.56x = 853,662.34 × 214,040.52
  4. Step 4: Simplify right side
    569,023.56x = 182,718,331,158.02
  5. Step 5: Solve for x
    x = 182,718,331,158.02/569,023.56
  6. Step 6: Final answer
    x = 321,108.55

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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.