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Finding the Fourth Proportional to 323,788.67, 446,831.27 and 178,600.02

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Solution

The fourth proportional to 323,788.67, 446,831.27 and 178,600.02 is: 246,469.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,788.67 : 446,831.27 = 178,600.02 : x
  2. Step 2: Convert to fraction form
    323,788.67/446,831.27 = 178,600.02/x
  3. Step 3: Cross multiply
    323,788.67x = 446,831.27 × 178,600.02
  4. Step 4: Simplify right side
    323,788.67x = 79,804,073,758.63
  5. Step 5: Solve for x
    x = 79,804,073,758.63/323,788.67
  6. Step 6: Final answer
    x = 246,469.63

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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.