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Finding the Fourth Proportional to 451,694.89, 677,682.66 and 271,978.16

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Solution

The fourth proportional to 451,694.89, 677,682.66 and 271,978.16 is: 408,051.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,694.89 : 677,682.66 = 271,978.16 : x
  2. Step 2: Convert to fraction form
    451,694.89/677,682.66 = 271,978.16/x
  3. Step 3: Cross multiply
    451,694.89x = 677,682.66 × 271,978.16
  4. Step 4: Simplify right side
    451,694.89x = 184,314,882,930.71
  5. Step 5: Solve for x
    x = 184,314,882,930.71/451,694.89
  6. Step 6: Final answer
    x = 408,051.74

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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.