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Finding the Fourth Proportional to 274,728.42, 413,964.63 and 225,902.34

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Solution

The fourth proportional to 274,728.42, 413,964.63 and 225,902.34 is: 340,392.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,728.42 : 413,964.63 = 225,902.34 : x
  2. Step 2: Convert to fraction form
    274,728.42/413,964.63 = 225,902.34/x
  3. Step 3: Cross multiply
    274,728.42x = 413,964.63 × 225,902.34
  4. Step 4: Simplify right side
    274,728.42x = 93,515,578,594.23
  5. Step 5: Solve for x
    x = 93,515,578,594.23/274,728.42
  6. Step 6: Final answer
    x = 340,392.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.