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Finding the Fourth Proportional to 410,093.78, 565,928.61 and 228,794.91

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Solution

The fourth proportional to 410,093.78, 565,928.61 and 228,794.91 is: 315,736.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,093.78 : 565,928.61 = 228,794.91 : x
  2. Step 2: Convert to fraction form
    410,093.78/565,928.61 = 228,794.91/x
  3. Step 3: Cross multiply
    410,093.78x = 565,928.61 × 228,794.91
  4. Step 4: Simplify right side
    410,093.78x = 129,481,585,391.38
  5. Step 5: Solve for x
    x = 129,481,585,391.38/410,093.78
  6. Step 6: Final answer
    x = 315,736.53

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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.