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Finding the Fourth Proportional to 332,076.52, 498,380.22 and 172,197.88

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Solution

The fourth proportional to 332,076.52, 498,380.22 and 172,197.88 is: 258,434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,076.52 : 498,380.22 = 172,197.88 : x
  2. Step 2: Convert to fraction form
    332,076.52/498,380.22 = 172,197.88/x
  3. Step 3: Cross multiply
    332,076.52x = 498,380.22 × 172,197.88
  4. Step 4: Simplify right side
    332,076.52x = 85,820,017,317.93
  5. Step 5: Solve for x
    x = 85,820,017,317.93/332,076.52
  6. Step 6: Final answer
    x = 258,434.46

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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.