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Finding the Fourth Proportional to 297,960.98, 446,800.82 and 108,289.22

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Solution

The fourth proportional to 297,960.98, 446,800.82 and 108,289.22 is: 162,382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,960.98 : 446,800.82 = 108,289.22 : x
  2. Step 2: Convert to fraction form
    297,960.98/446,800.82 = 108,289.22/x
  3. Step 3: Cross multiply
    297,960.98x = 446,800.82 × 108,289.22
  4. Step 4: Simplify right side
    297,960.98x = 48,383,712,293.16
  5. Step 5: Solve for x
    x = 48,383,712,293.16/297,960.98
  6. Step 6: Final answer
    x = 162,382.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.