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Finding the Fourth Proportional to 306,282.45, 422,607.84 and 178,933.44

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Solution

The fourth proportional to 306,282.45, 422,607.84 and 178,933.44 is: 246,891.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,282.45 : 422,607.84 = 178,933.44 : x
  2. Step 2: Convert to fraction form
    306,282.45/422,607.84 = 178,933.44/x
  3. Step 3: Cross multiply
    306,282.45x = 422,607.84 × 178,933.44
  4. Step 4: Simplify right side
    306,282.45x = 75,618,674,582.17
  5. Step 5: Solve for x
    x = 75,618,674,582.17/306,282.45
  6. Step 6: Final answer
    x = 246,891.96

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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.