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Finding the Fourth Proportional to 569,236.60, 853,729.13 and 164,340.85

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Solution

The fourth proportional to 569,236.60, 853,729.13 and 164,340.85 is: 246,474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,236.60 : 853,729.13 = 164,340.85 : x
  2. Step 2: Convert to fraction form
    569,236.60/853,729.13 = 164,340.85/x
  3. Step 3: Cross multiply
    569,236.60x = 853,729.13 × 164,340.85
  4. Step 4: Simplify right side
    569,236.60x = 140,302,570,072.26
  5. Step 5: Solve for x
    x = 140,302,570,072.26/569,236.60
  6. Step 6: Final answer
    x = 246,474.97

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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.