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Finding the Fourth Proportional to 569,216.20, 853,824.30 and 214,309.84

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Solution

The fourth proportional to 569,216.20, 853,824.30 and 214,309.84 is: 321,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,216.20 : 853,824.30 = 214,309.84 : x
  2. Step 2: Convert to fraction form
    569,216.20/853,824.30 = 214,309.84/x
  3. Step 3: Cross multiply
    569,216.20x = 853,824.30 × 214,309.84
  4. Step 4: Simplify right side
    569,216.20x = 182,982,949,121.11
  5. Step 5: Solve for x
    x = 182,982,949,121.11/569,216.20
  6. Step 6: Final answer
    x = 321,464.76

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Similar ratio
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1.5x scale

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.