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Finding the Fourth Proportional to 297,807.88, 446,795.20 and 120,439.44

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Solution

The fourth proportional to 297,807.88, 446,795.20 and 120,439.44 is: 180,692.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,807.88 : 446,795.20 = 120,439.44 : x
  2. Step 2: Convert to fraction form
    297,807.88/446,795.20 = 120,439.44/x
  3. Step 3: Cross multiply
    297,807.88x = 446,795.20 × 120,439.44
  4. Step 4: Simplify right side
    297,807.88x = 53,811,764,197.48
  5. Step 5: Solve for x
    x = 53,811,764,197.48/297,807.88
  6. Step 6: Final answer
    x = 180,692.88

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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.