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Finding the Fourth Proportional to 270,584.25, 406,016.36 and 196,317.37

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Solution

The fourth proportional to 270,584.25, 406,016.36 and 196,317.37 is: 294,577.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,584.25 : 406,016.36 = 196,317.37 : x
  2. Step 2: Convert to fraction form
    270,584.25/406,016.36 = 196,317.37/x
  3. Step 3: Cross multiply
    270,584.25x = 406,016.36 × 196,317.37
  4. Step 4: Simplify right side
    270,584.25x = 79,708,064,510.37
  5. Step 5: Solve for x
    x = 79,708,064,510.37/270,584.25
  6. Step 6: Final answer
    x = 294,577.62

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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.