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Finding the Fourth Proportional to 341,906.84, 471,830.28 and 188,940.78

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Solution

The fourth proportional to 341,906.84, 471,830.28 and 188,940.78 is: 260,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,906.84 : 471,830.28 = 188,940.78 : x
  2. Step 2: Convert to fraction form
    341,906.84/471,830.28 = 188,940.78/x
  3. Step 3: Cross multiply
    341,906.84x = 471,830.28 × 188,940.78
  4. Step 4: Simplify right side
    341,906.84x = 89,147,981,130.82
  5. Step 5: Solve for x
    x = 89,147,981,130.82/341,906.84
  6. Step 6: Final answer
    x = 260,737.64

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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.