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Finding the Fourth Proportional to 471,448.71, 707,282.91 and 134,494.02

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Solution

The fourth proportional to 471,448.71, 707,282.91 and 134,494.02 is: 201,772.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,448.71 : 707,282.91 = 134,494.02 : x
  2. Step 2: Convert to fraction form
    471,448.71/707,282.91 = 134,494.02/x
  3. Step 3: Cross multiply
    471,448.71x = 707,282.91 × 134,494.02
  4. Step 4: Simplify right side
    471,448.71x = 95,125,321,843.20
  5. Step 5: Solve for x
    x = 95,125,321,843.20/471,448.71
  6. Step 6: Final answer
    x = 201,772.37

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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.