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Finding the Fourth Proportional to 228,046.49, 341,924.84 and 200,022.82

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Solution

The fourth proportional to 228,046.49, 341,924.84 and 200,022.82 is: 299,907.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,046.49 : 341,924.84 = 200,022.82 : x
  2. Step 2: Convert to fraction form
    228,046.49/341,924.84 = 200,022.82/x
  3. Step 3: Cross multiply
    228,046.49x = 341,924.84 × 200,022.82
  4. Step 4: Simplify right side
    228,046.49x = 68,392,770,745.14
  5. Step 5: Solve for x
    x = 68,392,770,745.14/228,046.49
  6. Step 6: Final answer
    x = 299,907.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.