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Finding the Fourth Proportional to 297,939.66, 446,311.13 and 137,791.12

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Solution

The fourth proportional to 297,939.66, 446,311.13 and 137,791.12 is: 206,409.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,939.66 : 446,311.13 = 137,791.12 : x
  2. Step 2: Convert to fraction form
    297,939.66/446,311.13 = 137,791.12/x
  3. Step 3: Cross multiply
    297,939.66x = 446,311.13 × 137,791.12
  4. Step 4: Simplify right side
    297,939.66x = 61,497,710,471.17
  5. Step 5: Solve for x
    x = 61,497,710,471.17/297,939.66
  6. Step 6: Final answer
    x = 206,409.95

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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.