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Finding the Fourth Proportional to 297,993.76, 446,978.58 and 73,343.20

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Solution

The fourth proportional to 297,993.76, 446,978.58 and 73,343.20 is: 110,011.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,993.76 : 446,978.58 = 73,343.20 : x
  2. Step 2: Convert to fraction form
    297,993.76/446,978.58 = 73,343.20/x
  3. Step 3: Cross multiply
    297,993.76x = 446,978.58 × 73,343.20
  4. Step 4: Simplify right side
    297,993.76x = 32,782,839,388.66
  5. Step 5: Solve for x
    x = 32,782,839,388.66/297,993.76
  6. Step 6: Final answer
    x = 110,011.83

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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.