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Finding the Fourth Proportional to 301,175.62, 451,538.74 and 181,204.47

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Solution

The fourth proportional to 301,175.62, 451,538.74 and 181,204.47 is: 271,671.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,175.62 : 451,538.74 = 181,204.47 : x
  2. Step 2: Convert to fraction form
    301,175.62/451,538.74 = 181,204.47/x
  3. Step 3: Cross multiply
    301,175.62x = 451,538.74 × 181,204.47
  4. Step 4: Simplify right side
    301,175.62x = 81,820,834,902.45
  5. Step 5: Solve for x
    x = 81,820,834,902.45/301,175.62
  6. Step 6: Final answer
    x = 271,671.51

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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.