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Finding the Fourth Proportional to 503,533.26, 694,890.46 and 274,105.42

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Solution

The fourth proportional to 503,533.26, 694,890.46 and 274,105.42 is: 378,273.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,533.26 : 694,890.46 = 274,105.42 : x
  2. Step 2: Convert to fraction form
    503,533.26/694,890.46 = 274,105.42/x
  3. Step 3: Cross multiply
    503,533.26x = 694,890.46 × 274,105.42
  4. Step 4: Simplify right side
    503,533.26x = 190,473,241,392.29
  5. Step 5: Solve for x
    x = 190,473,241,392.29/503,533.26
  6. Step 6: Final answer
    x = 378,273.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.