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Finding the Fourth Proportional to 503,540.77, 694,895.12 and 274,104.65

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Solution

The fourth proportional to 503,540.77, 694,895.12 and 274,104.65 is: 378,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,540.77 : 694,895.12 = 274,104.65 : x
  2. Step 2: Convert to fraction form
    503,540.77/694,895.12 = 274,104.65/x
  3. Step 3: Cross multiply
    503,540.77x = 694,895.12 × 274,104.65
  4. Step 4: Simplify right side
    503,540.77x = 190,473,983,654.31
  5. Step 5: Solve for x
    x = 190,473,983,654.31/503,540.77
  6. Step 6: Final answer
    x = 378,269.24

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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.