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Finding the Fourth Proportional to 503,046.54, 694,200.92 and 285,296.66

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Solution

The fourth proportional to 503,046.54, 694,200.92 and 285,296.66 is: 393,707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,046.54 : 694,200.92 = 285,296.66 : x
  2. Step 2: Convert to fraction form
    503,046.54/694,200.92 = 285,296.66/x
  3. Step 3: Cross multiply
    503,046.54x = 694,200.92 × 285,296.66
  4. Step 4: Simplify right side
    503,046.54x = 198,053,203,844.93
  5. Step 5: Solve for x
    x = 198,053,203,844.93/503,046.54
  6. Step 6: Final answer
    x = 393,707.52

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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.