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Finding the Fourth Proportional to 503,574.82, 694,933.23 and 274,133.76

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Solution

The fourth proportional to 503,574.82, 694,933.23 and 274,133.76 is: 378,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,574.82 : 694,933.23 = 274,133.76 : x
  2. Step 2: Convert to fraction form
    503,574.82/694,933.23 = 274,133.76/x
  3. Step 3: Cross multiply
    503,574.82x = 694,933.23 × 274,133.76
  4. Step 4: Simplify right side
    503,574.82x = 190,504,659,288.85
  5. Step 5: Solve for x
    x = 190,504,659,288.85/503,574.82
  6. Step 6: Final answer
    x = 378,304.58

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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.