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Finding the Fourth Proportional to 301,922.62, 416,644.22 and 172,856.82

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Solution

The fourth proportional to 301,922.62, 416,644.22 and 172,856.82 is: 238,537.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,922.62 : 416,644.22 = 172,856.82 : x
  2. Step 2: Convert to fraction form
    301,922.62/416,644.22 = 172,856.82/x
  3. Step 3: Cross multiply
    301,922.62x = 416,644.22 × 172,856.82
  4. Step 4: Simplify right side
    301,922.62x = 72,019,794,940.58
  5. Step 5: Solve for x
    x = 72,019,794,940.58/301,922.62
  6. Step 6: Final answer
    x = 238,537.26

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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.