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Finding the Fourth Proportional to 297,273.40, 445,964.10 and 97,538.20

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Solution

The fourth proportional to 297,273.40, 445,964.10 and 97,538.20 is: 146,325.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,273.40 : 445,964.10 = 97,538.20 : x
  2. Step 2: Convert to fraction form
    297,273.40/445,964.10 = 97,538.20/x
  3. Step 3: Cross multiply
    297,273.40x = 445,964.10 × 97,538.20
  4. Step 4: Simplify right side
    297,273.40x = 43,498,535,578.62
  5. Step 5: Solve for x
    x = 43,498,535,578.62/297,273.40
  6. Step 6: Final answer
    x = 146,325.02

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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.