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Finding the Fourth Proportional to 270,584.91, 406,017.43 and 196,318.04

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Solution

The fourth proportional to 270,584.91, 406,017.43 and 196,318.04 is: 294,578.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,584.91 : 406,017.43 = 196,318.04 : x
  2. Step 2: Convert to fraction form
    270,584.91/406,017.43 = 196,318.04/x
  3. Step 3: Cross multiply
    270,584.91x = 406,017.43 × 196,318.04
  4. Step 4: Simplify right side
    270,584.91x = 79,708,543,542.56
  5. Step 5: Solve for x
    x = 79,708,543,542.56/270,584.91
  6. Step 6: Final answer
    x = 294,578.67

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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.