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Finding the Fourth Proportional to 297,959.50, 446,339.04 and 137,809.54

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Solution

The fourth proportional to 297,959.50, 446,339.04 and 137,809.54 is: 206,436.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,959.50 : 446,339.04 = 137,809.54 : x
  2. Step 2: Convert to fraction form
    297,959.50/446,339.04 = 137,809.54/x
  3. Step 3: Cross multiply
    297,959.50x = 446,339.04 × 137,809.54
  4. Step 4: Simplify right side
    297,959.50x = 61,509,777,786.44
  5. Step 5: Solve for x
    x = 61,509,777,786.44/297,959.50
  6. Step 6: Final answer
    x = 206,436.71

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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.