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Finding the Fourth Proportional to 295,863.84, 408,177.36 and 188,414.64

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Solution

The fourth proportional to 295,863.84, 408,177.36 and 188,414.64 is: 259,939.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,863.84 : 408,177.36 = 188,414.64 : x
  2. Step 2: Convert to fraction form
    295,863.84/408,177.36 = 188,414.64/x
  3. Step 3: Cross multiply
    295,863.84x = 408,177.36 × 188,414.64
  4. Step 4: Simplify right side
    295,863.84x = 76,906,590,340.55
  5. Step 5: Solve for x
    x = 76,906,590,340.55/295,863.84
  6. Step 6: Final answer
    x = 259,939.13

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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.