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Finding the Fourth Proportional to 270,708.58, 406,201.20 and 180,812.56

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Solution

The fourth proportional to 270,708.58, 406,201.20 and 180,812.56 is: 271,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,708.58 : 406,201.20 = 180,812.56 : x
  2. Step 2: Convert to fraction form
    270,708.58/406,201.20 = 180,812.56/x
  3. Step 3: Cross multiply
    270,708.58x = 406,201.20 × 180,812.56
  4. Step 4: Simplify right side
    270,708.58x = 73,446,278,847.07
  5. Step 5: Solve for x
    x = 73,446,278,847.07/270,708.58
  6. Step 6: Final answer
    x = 271,311.23

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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.