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Finding the Fourth Proportional to 300,336.56, 414,346.56 and 192,891.68

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Solution

The fourth proportional to 300,336.56, 414,346.56 and 192,891.68 is: 266,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,336.56 : 414,346.56 = 192,891.68 : x
  2. Step 2: Convert to fraction form
    300,336.56/414,346.56 = 192,891.68/x
  3. Step 3: Cross multiply
    300,336.56x = 414,346.56 × 192,891.68
  4. Step 4: Simplify right side
    300,336.56x = 79,924,004,060.62
  5. Step 5: Solve for x
    x = 79,924,004,060.62/300,336.56
  6. Step 6: Final answer
    x = 266,114.80

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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.