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Finding the Fourth Proportional to 471,074.03, 706,183.41 and 171,342.71

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Solution

The fourth proportional to 471,074.03, 706,183.41 and 171,342.71 is: 256,858.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,074.03 : 706,183.41 = 171,342.71 : x
  2. Step 2: Convert to fraction form
    471,074.03/706,183.41 = 171,342.71/x
  3. Step 3: Cross multiply
    471,074.03x = 706,183.41 × 171,342.71
  4. Step 4: Simplify right side
    471,074.03x = 120,999,378,986.25
  5. Step 5: Solve for x
    x = 120,999,378,986.25/471,074.03
  6. Step 6: Final answer
    x = 256,858.52

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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.