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Finding the Fourth Proportional to 378,049.76, 567,179.72 and 164,836.30

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Solution

The fourth proportional to 378,049.76, 567,179.72 and 164,836.30 is: 247,300.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,049.76 : 567,179.72 = 164,836.30 : x
  2. Step 2: Convert to fraction form
    378,049.76/567,179.72 = 164,836.30/x
  3. Step 3: Cross multiply
    378,049.76x = 567,179.72 × 164,836.30
  4. Step 4: Simplify right side
    378,049.76x = 93,491,806,479.84
  5. Step 5: Solve for x
    x = 93,491,806,479.84/378,049.76
  6. Step 6: Final answer
    x = 247,300.27

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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.