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Finding the Fourth Proportional to 295,716.16, 408,087.90 and 168,391.75

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Solution

The fourth proportional to 295,716.16, 408,087.90 and 168,391.75 is: 232,380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,716.16 : 408,087.90 = 168,391.75 : x
  2. Step 2: Convert to fraction form
    295,716.16/408,087.90 = 168,391.75/x
  3. Step 3: Cross multiply
    295,716.16x = 408,087.90 × 168,391.75
  4. Step 4: Simplify right side
    295,716.16x = 68,718,635,634.83
  5. Step 5: Solve for x
    x = 68,718,635,634.83/295,716.16
  6. Step 6: Final answer
    x = 232,380.39

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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.