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Finding the Fourth Proportional to 325,067.80, 448,116.14 and 227,977.30

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Solution

The fourth proportional to 325,067.80, 448,116.14 and 227,977.30 is: 314,273.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,067.80 : 448,116.14 = 227,977.30 : x
  2. Step 2: Convert to fraction form
    325,067.80/448,116.14 = 227,977.30/x
  3. Step 3: Cross multiply
    325,067.80x = 448,116.14 × 227,977.30
  4. Step 4: Simplify right side
    325,067.80x = 102,160,307,683.62
  5. Step 5: Solve for x
    x = 102,160,307,683.62/325,067.80
  6. Step 6: Final answer
    x = 314,273.85

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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.