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Finding the Fourth Proportional to 408,851.10, 613,276.65 and 231,704.10

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Solution

The fourth proportional to 408,851.10, 613,276.65 and 231,704.10 is: 347,556.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,851.10 : 613,276.65 = 231,704.10 : x
  2. Step 2: Convert to fraction form
    408,851.10/613,276.65 = 231,704.10/x
  3. Step 3: Cross multiply
    408,851.10x = 613,276.65 × 231,704.10
  4. Step 4: Simplify right side
    408,851.10x = 142,098,714,239.27
  5. Step 5: Solve for x
    x = 142,098,714,239.27/408,851.10
  6. Step 6: Final answer
    x = 347,556.15

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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.