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Finding the Fourth Proportional to 503,535.98, 694,888.51 and 274,099.86

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Solution

The fourth proportional to 503,535.98, 694,888.51 and 274,099.86 is: 378,262.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,535.98 : 694,888.51 = 274,099.86 : x
  2. Step 2: Convert to fraction form
    503,535.98/694,888.51 = 274,099.86/x
  3. Step 3: Cross multiply
    503,535.98x = 694,888.51 × 274,099.86
  4. Step 4: Simplify right side
    503,535.98x = 190,468,843,306.61
  5. Step 5: Solve for x
    x = 190,468,843,306.61/503,535.98
  6. Step 6: Final answer
    x = 378,262.63

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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.