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Finding the Fourth Proportional to 297,834.68, 446,973.49 and 120,343.23

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Solution

The fourth proportional to 297,834.68, 446,973.49 and 120,343.23 is: 180,604.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,834.68 : 446,973.49 = 120,343.23 : x
  2. Step 2: Convert to fraction form
    297,834.68/446,973.49 = 120,343.23/x
  3. Step 3: Cross multiply
    297,834.68x = 446,973.49 × 120,343.23
  4. Step 4: Simplify right side
    297,834.68x = 53,790,233,510.97
  5. Step 5: Solve for x
    x = 53,790,233,510.97/297,834.68
  6. Step 6: Final answer
    x = 180,604.33

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