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Finding the Fourth Proportional to 297,807.28, 446,794.24 and 120,438.80

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Solution

The fourth proportional to 297,807.28, 446,794.24 and 120,438.80 is: 180,691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,807.28 : 446,794.24 = 120,438.80 : x
  2. Step 2: Convert to fraction form
    297,807.28/446,794.24 = 120,438.80/x
  3. Step 3: Cross multiply
    297,807.28x = 446,794.24 × 120,438.80
  4. Step 4: Simplify right side
    297,807.28x = 53,811,362,112.51
  5. Step 5: Solve for x
    x = 53,811,362,112.51/297,807.28
  6. Step 6: Final answer
    x = 180,691.90

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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.