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Finding the Fourth Proportional to 295,977.44, 408,127.56 and 188,409.80

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Solution

The fourth proportional to 295,977.44, 408,127.56 and 188,409.80 is: 259,800.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,977.44 : 408,127.56 = 188,409.80 : x
  2. Step 2: Convert to fraction form
    295,977.44/408,127.56 = 188,409.80/x
  3. Step 3: Cross multiply
    295,977.44x = 408,127.56 × 188,409.80
  4. Step 4: Simplify right side
    295,977.44x = 76,895,231,954.09
  5. Step 5: Solve for x
    x = 76,895,231,954.09/295,977.44
  6. Step 6: Final answer
    x = 259,800.99

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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.