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Finding the Fourth Proportional to 325,616.46, 488,031 and 167,758.80

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Solution

The fourth proportional to 325,616.46, 488,031 and 167,758.80 is: 251,435.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,616.46 : 488,031 = 167,758.80 : x
  2. Step 2: Convert to fraction form
    325,616.46/488,031 = 167,758.80/x
  3. Step 3: Cross multiply
    325,616.46x = 488,031 × 167,758.80
  4. Step 4: Simplify right side
    325,616.46x = 81,871,494,922.80
  5. Step 5: Solve for x
    x = 81,871,494,922.80/325,616.46
  6. Step 6: Final answer
    x = 251,435.37

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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.