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Finding the Fourth Proportional to 322,480.46, 445,021.34 and 177,289.58

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Solution

The fourth proportional to 322,480.46, 445,021.34 and 177,289.58 is: 244,658.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,480.46 : 445,021.34 = 177,289.58 : x
  2. Step 2: Convert to fraction form
    322,480.46/445,021.34 = 177,289.58/x
  3. Step 3: Cross multiply
    322,480.46x = 445,021.34 × 177,289.58
  4. Step 4: Simplify right side
    322,480.46x = 78,897,646,459.64
  5. Step 5: Solve for x
    x = 78,897,646,459.64/322,480.46
  6. Step 6: Final answer
    x = 244,658.69

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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.