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Finding the Fourth Proportional to 297,813.36, 446,354.04 and 137,672.67

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Solution

The fourth proportional to 297,813.36, 446,354.04 and 137,672.67 is: 206,339.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,813.36 : 446,354.04 = 137,672.67 : x
  2. Step 2: Convert to fraction form
    297,813.36/446,354.04 = 137,672.67/x
  3. Step 3: Cross multiply
    297,813.36x = 446,354.04 × 137,672.67
  4. Step 4: Simplify right side
    297,813.36x = 61,450,752,452.09
  5. Step 5: Solve for x
    x = 61,450,752,452.09/297,813.36
  6. Step 6: Final answer
    x = 206,339.81

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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.