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Finding the Fourth Proportional to 413,029.67, 619,286.31 and 173,078.71

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Solution

The fourth proportional to 413,029.67, 619,286.31 and 173,078.71 is: 259,509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,029.67 : 619,286.31 = 173,078.71 : x
  2. Step 2: Convert to fraction form
    413,029.67/619,286.31 = 173,078.71/x
  3. Step 3: Cross multiply
    413,029.67x = 619,286.31 × 173,078.71
  4. Step 4: Simplify right side
    413,029.67x = 107,185,274,107.24
  5. Step 5: Solve for x
    x = 107,185,274,107.24/413,029.67
  6. Step 6: Final answer
    x = 259,509.87

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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.