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Finding the Fourth Proportional to 228,716.56, 314,976.36 and 205,860.88

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Solution

The fourth proportional to 228,716.56, 314,976.36 and 205,860.88 is: 283,500.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,716.56 : 314,976.36 = 205,860.88 : x
  2. Step 2: Convert to fraction form
    228,716.56/314,976.36 = 205,860.88/x
  3. Step 3: Cross multiply
    228,716.56x = 314,976.36 × 205,860.88
  4. Step 4: Simplify right side
    228,716.56x = 64,841,310,648.80
  5. Step 5: Solve for x
    x = 64,841,310,648.80/228,716.56
  6. Step 6: Final answer
    x = 283,500.73

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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.