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Finding the Fourth Proportional to 503,442.86, 694,758.85 and 274,009.25

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Solution

The fourth proportional to 503,442.86, 694,758.85 and 274,009.25 is: 378,136.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,442.86 : 694,758.85 = 274,009.25 : x
  2. Step 2: Convert to fraction form
    503,442.86/694,758.85 = 274,009.25/x
  3. Step 3: Cross multiply
    503,442.86x = 694,758.85 × 274,009.25
  4. Step 4: Simplify right side
    503,442.86x = 190,370,350,104.52
  5. Step 5: Solve for x
    x = 190,370,350,104.52/503,442.86
  6. Step 6: Final answer
    x = 378,136.95

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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.