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Finding the Fourth Proportional to 306,525.88, 422,942.32 and 179,176.84

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Solution

The fourth proportional to 306,525.88, 422,942.32 and 179,176.84 is: 247,226.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,525.88 : 422,942.32 = 179,176.84 : x
  2. Step 2: Convert to fraction form
    306,525.88/422,942.32 = 179,176.84/x
  3. Step 3: Cross multiply
    306,525.88x = 422,942.32 × 179,176.84
  4. Step 4: Simplify right side
    306,525.88x = 75,781,468,399.87
  5. Step 5: Solve for x
    x = 75,781,468,399.87/306,525.88
  6. Step 6: Final answer
    x = 247,226.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.