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Finding the Fourth Proportional to 503,446.25, 694,763.53 and 274,012.64

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Solution

The fourth proportional to 503,446.25, 694,763.53 and 274,012.64 is: 378,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,446.25 : 694,763.53 = 274,012.64 : x
  2. Step 2: Convert to fraction form
    503,446.25/694,763.53 = 274,012.64/x
  3. Step 3: Cross multiply
    503,446.25x = 694,763.53 × 274,012.64
  4. Step 4: Simplify right side
    503,446.25x = 190,373,987,477.53
  5. Step 5: Solve for x
    x = 190,373,987,477.53/503,446.25
  6. Step 6: Final answer
    x = 378,141.63

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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.