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Finding the Fourth Proportional to 322,055.82, 444,438.90 and 176,867.82

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Solution

The fourth proportional to 322,055.82, 444,438.90 and 176,867.82 is: 244,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,055.82 : 444,438.90 = 176,867.82 : x
  2. Step 2: Convert to fraction form
    322,055.82/444,438.90 = 176,867.82/x
  3. Step 3: Cross multiply
    322,055.82x = 444,438.90 × 176,867.82
  4. Step 4: Simplify right side
    322,055.82x = 78,606,939,366.20
  5. Step 5: Solve for x
    x = 78,606,939,366.20/322,055.82
  6. Step 6: Final answer
    x = 244,078.62

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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.