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Finding the Fourth Proportional to 451,782.54, 676,770.24 and 271,768.75

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Solution

The fourth proportional to 451,782.54, 676,770.24 and 271,768.75 is: 407,109.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,782.54 : 676,770.24 = 271,768.75 : x
  2. Step 2: Convert to fraction form
    451,782.54/676,770.24 = 271,768.75/x
  3. Step 3: Cross multiply
    451,782.54x = 676,770.24 × 271,768.75
  4. Step 4: Simplify right side
    451,782.54x = 183,925,002,162
  5. Step 5: Solve for x
    x = 183,925,002,162/451,782.54
  6. Step 6: Final answer
    x = 407,109.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.