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Finding the Fourth Proportional to 270,716.40, 406,100.20 and 73,724.40

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Solution

The fourth proportional to 270,716.40, 406,100.20 and 73,724.40 is: 110,593.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,716.40 : 406,100.20 = 73,724.40 : x
  2. Step 2: Convert to fraction form
    270,716.40/406,100.20 = 73,724.40/x
  3. Step 3: Cross multiply
    270,716.40x = 406,100.20 × 73,724.40
  4. Step 4: Simplify right side
    270,716.40x = 29,939,493,584.88
  5. Step 5: Solve for x
    x = 29,939,493,584.88/270,716.40
  6. Step 6: Final answer
    x = 110,593.57

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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.