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Finding the Fourth Proportional to 384,857.44, 577,380.76 and 132,141.62

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Solution

The fourth proportional to 384,857.44, 577,380.76 and 132,141.62 is: 198,244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,857.44 : 577,380.76 = 132,141.62 : x
  2. Step 2: Convert to fraction form
    384,857.44/577,380.76 = 132,141.62/x
  3. Step 3: Cross multiply
    384,857.44x = 577,380.76 × 132,141.62
  4. Step 4: Simplify right side
    384,857.44x = 76,296,030,096.33
  5. Step 5: Solve for x
    x = 76,296,030,096.33/384,857.44
  6. Step 6: Final answer
    x = 198,244.92

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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.