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Finding the Fourth Proportional to 337,211.60, 505,736.40 and 194,748.80

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Solution

The fourth proportional to 337,211.60, 505,736.40 and 194,748.80 is: 292,076.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,211.60 : 505,736.40 = 194,748.80 : x
  2. Step 2: Convert to fraction form
    337,211.60/505,736.40 = 194,748.80/x
  3. Step 3: Cross multiply
    337,211.60x = 505,736.40 × 194,748.80
  4. Step 4: Simplify right side
    337,211.60x = 98,491,557,016.32
  5. Step 5: Solve for x
    x = 98,491,557,016.32/337,211.60
  6. Step 6: Final answer
    x = 292,076.42

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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.