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Finding the Fourth Proportional to 323,831.40, 446,866.24 and 178,628.44

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Solution

The fourth proportional to 323,831.40, 446,866.24 and 178,628.44 is: 246,495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,831.40 : 446,866.24 = 178,628.44 : x
  2. Step 2: Convert to fraction form
    323,831.40/446,866.24 = 178,628.44/x
  3. Step 3: Cross multiply
    323,831.40x = 446,866.24 × 178,628.44
  4. Step 4: Simplify right side
    323,831.40x = 79,823,019,339.87
  5. Step 5: Solve for x
    x = 79,823,019,339.87/323,831.40
  6. Step 6: Final answer
    x = 246,495.61

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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.