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Finding the Fourth Proportional to 297,841.68, 446,984.01 and 120,350.21

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Solution

The fourth proportional to 297,841.68, 446,984.01 and 120,350.21 is: 180,614.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,841.68 : 446,984.01 = 120,350.21 : x
  2. Step 2: Convert to fraction form
    297,841.68/446,984.01 = 120,350.21/x
  3. Step 3: Cross multiply
    297,841.68x = 446,984.01 × 120,350.21
  4. Step 4: Simplify right side
    297,841.68x = 53,794,617,235.22
  5. Step 5: Solve for x
    x = 53,794,617,235.22/297,841.68
  6. Step 6: Final answer
    x = 180,614.81

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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.