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Finding the Fourth Proportional to 463,039.20, 694,558.80 and 167,512.80

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Solution

The fourth proportional to 463,039.20, 694,558.80 and 167,512.80 is: 251,269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,039.20 : 694,558.80 = 167,512.80 : x
  2. Step 2: Convert to fraction form
    463,039.20/694,558.80 = 167,512.80/x
  3. Step 3: Cross multiply
    463,039.20x = 694,558.80 × 167,512.80
  4. Step 4: Simplify right side
    463,039.20x = 116,347,489,352.64
  5. Step 5: Solve for x
    x = 116,347,489,352.64/463,039.20
  6. Step 6: Final answer
    x = 251,269.20

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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.