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Finding the Fourth Proportional to 395,448.21, 593,273.43 and 114,965.46

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Solution

The fourth proportional to 395,448.21, 593,273.43 and 114,965.46 is: 172,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,448.21 : 593,273.43 = 114,965.46 : x
  2. Step 2: Convert to fraction form
    395,448.21/593,273.43 = 114,965.46/x
  3. Step 3: Cross multiply
    395,448.21x = 593,273.43 × 114,965.46
  4. Step 4: Simplify right side
    395,448.21x = 68,205,952,785.73
  5. Step 5: Solve for x
    x = 68,205,952,785.73/395,448.21
  6. Step 6: Final answer
    x = 172,477.59

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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.