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Finding the Fourth Proportional to 471,449.10, 707,180.34 and 134,489.82

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Solution

The fourth proportional to 471,449.10, 707,180.34 and 134,489.82 is: 201,736.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,449.10 : 707,180.34 = 134,489.82 : x
  2. Step 2: Convert to fraction form
    471,449.10/707,180.34 = 134,489.82/x
  3. Step 3: Cross multiply
    471,449.10x = 707,180.34 × 134,489.82
  4. Step 4: Simplify right side
    471,449.10x = 95,108,556,634.14
  5. Step 5: Solve for x
    x = 95,108,556,634.14/471,449.10
  6. Step 6: Final answer
    x = 201,736.64

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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.