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Finding the Fourth Proportional to 471,448.26, 707,195.70 and 134,538.51

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Solution

The fourth proportional to 471,448.26, 707,195.70 and 134,538.51 is: 201,814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,448.26 : 707,195.70 = 134,538.51 : x
  2. Step 2: Convert to fraction form
    471,448.26/707,195.70 = 134,538.51/x
  3. Step 3: Cross multiply
    471,448.26x = 707,195.70 × 134,538.51
  4. Step 4: Simplify right side
    471,448.26x = 95,145,055,756.41
  5. Step 5: Solve for x
    x = 95,145,055,756.41/471,448.26
  6. Step 6: Final answer
    x = 201,814.42

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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.