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Finding the Fourth Proportional to 323,521.44, 446,332.30 and 216,161.60

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Solution

The fourth proportional to 323,521.44, 446,332.30 and 216,161.60 is: 298,217.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,521.44 : 446,332.30 = 216,161.60 : x
  2. Step 2: Convert to fraction form
    323,521.44/446,332.30 = 216,161.60/x
  3. Step 3: Cross multiply
    323,521.44x = 446,332.30 × 216,161.60
  4. Step 4: Simplify right side
    323,521.44x = 96,479,904,099.68
  5. Step 5: Solve for x
    x = 96,479,904,099.68/323,521.44
  6. Step 6: Final answer
    x = 298,217.96

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1.5x scale

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.