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Finding the Fourth Proportional to 301,359.20, 415,772.44 and 172,204.88

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Solution

The fourth proportional to 301,359.20, 415,772.44 and 172,204.88 is: 237,583.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,359.20 : 415,772.44 = 172,204.88 : x
  2. Step 2: Convert to fraction form
    301,359.20/415,772.44 = 172,204.88/x
  3. Step 3: Cross multiply
    301,359.20x = 415,772.44 × 172,204.88
  4. Step 4: Simplify right side
    301,359.20x = 71,598,040,628.13
  5. Step 5: Solve for x
    x = 71,598,040,628.13/301,359.20
  6. Step 6: Final answer
    x = 237,583.73

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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.