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Finding the Fourth Proportional to 503,494.62, 694,822.77 and 277,138.50

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Solution

The fourth proportional to 503,494.62, 694,822.77 and 277,138.50 is: 382,451.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,494.62 : 694,822.77 = 277,138.50 : x
  2. Step 2: Convert to fraction form
    503,494.62/694,822.77 = 277,138.50/x
  3. Step 3: Cross multiply
    503,494.62x = 694,822.77 × 277,138.50
  4. Step 4: Simplify right side
    503,494.62x = 192,562,140,243.65
  5. Step 5: Solve for x
    x = 192,562,140,243.65/503,494.62
  6. Step 6: Final answer
    x = 382,451.24

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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.