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Finding the Fourth Proportional to 301,647.42, 416,171.40 and 172,493.82

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Solution

The fourth proportional to 301,647.42, 416,171.40 and 172,493.82 is: 237,983.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,647.42 : 416,171.40 = 172,493.82 : x
  2. Step 2: Convert to fraction form
    301,647.42/416,171.40 = 172,493.82/x
  3. Step 3: Cross multiply
    301,647.42x = 416,171.40 × 172,493.82
  4. Step 4: Simplify right side
    301,647.42x = 71,786,994,560.75
  5. Step 5: Solve for x
    x = 71,786,994,560.75/301,647.42
  6. Step 6: Final answer
    x = 237,983.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.