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Finding the Fourth Proportional to 413,466.97, 619,806.78 and 132,787.39

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Solution

The fourth proportional to 413,466.97, 619,806.78 and 132,787.39 is: 199,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,466.97 : 619,806.78 = 132,787.39 : x
  2. Step 2: Convert to fraction form
    413,466.97/619,806.78 = 132,787.39/x
  3. Step 3: Cross multiply
    413,466.97x = 619,806.78 × 132,787.39
  4. Step 4: Simplify right side
    413,466.97x = 82,302,524,620.50
  5. Step 5: Solve for x
    x = 82,302,524,620.50/413,466.97
  6. Step 6: Final answer
    x = 199,054.65

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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.