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Finding the Fourth Proportional to 551,662.75, 827,494.17 and 177,685.75

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Solution

The fourth proportional to 551,662.75, 827,494.17 and 177,685.75 is: 266,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,662.75 : 827,494.17 = 177,685.75 : x
  2. Step 2: Convert to fraction form
    551,662.75/827,494.17 = 177,685.75/x
  3. Step 3: Cross multiply
    551,662.75x = 827,494.17 × 177,685.75
  4. Step 4: Simplify right side
    551,662.75x = 147,033,922,217.08
  5. Step 5: Solve for x
    x = 147,033,922,217.08/551,662.75
  6. Step 6: Final answer
    x = 266,528.64

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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.