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Finding the Fourth Proportional to 451,638.37, 677,471.73 and 167,400.06

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Solution

The fourth proportional to 451,638.37, 677,471.73 and 167,400.06 is: 251,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,638.37 : 677,471.73 = 167,400.06 : x
  2. Step 2: Convert to fraction form
    451,638.37/677,471.73 = 167,400.06/x
  3. Step 3: Cross multiply
    451,638.37x = 677,471.73 × 167,400.06
  4. Step 4: Simplify right side
    451,638.37x = 113,408,808,250.30
  5. Step 5: Solve for x
    x = 113,408,808,250.30/451,638.37
  6. Step 6: Final answer
    x = 251,105.34

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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.