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Finding the Fourth Proportional to 301,468.77, 451,611.96 and 174,843.06

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Solution

The fourth proportional to 301,468.77, 451,611.96 and 174,843.06 is: 261,921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,468.77 : 451,611.96 = 174,843.06 : x
  2. Step 2: Convert to fraction form
    301,468.77/451,611.96 = 174,843.06/x
  3. Step 3: Cross multiply
    301,468.77x = 451,611.96 × 174,843.06
  4. Step 4: Simplify right side
    301,468.77x = 78,961,217,019.00
  5. Step 5: Solve for x
    x = 78,961,217,019.00/301,468.77
  6. Step 6: Final answer
    x = 261,921.71

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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.