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Finding the Fourth Proportional to 297,301.44, 445,840.38 and 119,748

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Solution

The fourth proportional to 297,301.44, 445,840.38 and 119,748 is: 179,576.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,301.44 : 445,840.38 = 119,748 : x
  2. Step 2: Convert to fraction form
    297,301.44/445,840.38 = 119,748/x
  3. Step 3: Cross multiply
    297,301.44x = 445,840.38 × 119,748
  4. Step 4: Simplify right side
    297,301.44x = 53,388,493,824.24
  5. Step 5: Solve for x
    x = 53,388,493,824.24/297,301.44
  6. Step 6: Final answer
    x = 179,576.98

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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.