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Finding the Fourth Proportional to 378,517.83, 567,610.56 and 141,694.44

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Solution

The fourth proportional to 378,517.83, 567,610.56 and 141,694.44 is: 212,479.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,517.83 : 567,610.56 = 141,694.44 : x
  2. Step 2: Convert to fraction form
    378,517.83/567,610.56 = 141,694.44/x
  3. Step 3: Cross multiply
    378,517.83x = 567,610.56 × 141,694.44
  4. Step 4: Simplify right side
    378,517.83x = 80,427,260,303.67
  5. Step 5: Solve for x
    x = 80,427,260,303.67/378,517.83
  6. Step 6: Final answer
    x = 212,479.45

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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.