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Finding the Fourth Proportional to 397,326.28, 548,321.94 and 216,037.96

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Solution

The fourth proportional to 397,326.28, 548,321.94 and 216,037.96 is: 298,138.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,326.28 : 548,321.94 = 216,037.96 : x
  2. Step 2: Convert to fraction form
    397,326.28/548,321.94 = 216,037.96/x
  3. Step 3: Cross multiply
    397,326.28x = 548,321.94 × 216,037.96
  4. Step 4: Simplify right side
    397,326.28x = 118,458,353,340.84
  5. Step 5: Solve for x
    x = 118,458,353,340.84/397,326.28
  6. Step 6: Final answer
    x = 298,138.73

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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.