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Finding the Fourth Proportional to 384,731.65, 577,042.80 and 132,023.80

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Solution

The fourth proportional to 384,731.65, 577,042.80 and 132,023.80 is: 198,016.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,731.65 : 577,042.80 = 132,023.80 : x
  2. Step 2: Convert to fraction form
    384,731.65/577,042.80 = 132,023.80/x
  3. Step 3: Cross multiply
    384,731.65x = 577,042.80 × 132,023.80
  4. Step 4: Simplify right side
    384,731.65x = 76,183,383,218.64
  5. Step 5: Solve for x
    x = 76,183,383,218.64/384,731.65
  6. Step 6: Final answer
    x = 198,016.94

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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.