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Finding the Fourth Proportional to 384,615.54, 576,932.22 and 131,893.92

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Solution

The fourth proportional to 384,615.54, 576,932.22 and 131,893.92 is: 197,843.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,615.54 : 576,932.22 = 131,893.92 : x
  2. Step 2: Convert to fraction form
    384,615.54/576,932.22 = 131,893.92/x
  3. Step 3: Cross multiply
    384,615.54x = 576,932.22 × 131,893.92
  4. Step 4: Simplify right side
    384,615.54x = 76,093,852,070.10
  5. Step 5: Solve for x
    x = 76,093,852,070.10/384,615.54
  6. Step 6: Final answer
    x = 197,843.94

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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.