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Finding the Fourth Proportional to 270,581.57, 406,012.39 and 196,314.69

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Solution

The fourth proportional to 270,581.57, 406,012.39 and 196,314.69 is: 294,573.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,581.57 : 406,012.39 = 196,314.69 : x
  2. Step 2: Convert to fraction form
    270,581.57/406,012.39 = 196,314.69/x
  3. Step 3: Cross multiply
    270,581.57x = 406,012.39 × 196,314.69
  4. Step 4: Simplify right side
    270,581.57x = 79,706,195,988.22
  5. Step 5: Solve for x
    x = 79,706,195,988.22/270,581.57
  6. Step 6: Final answer
    x = 294,573.64

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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.