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Finding the Fourth Proportional to 297,202.40, 445,857.60 and 97,467.20

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Solution

The fourth proportional to 297,202.40, 445,857.60 and 97,467.20 is: 146,218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,202.40 : 445,857.60 = 97,467.20 : x
  2. Step 2: Convert to fraction form
    297,202.40/445,857.60 = 97,467.20/x
  3. Step 3: Cross multiply
    297,202.40x = 445,857.60 × 97,467.20
  4. Step 4: Simplify right side
    297,202.40x = 43,456,491,870.72
  5. Step 5: Solve for x
    x = 43,456,491,870.72/297,202.40
  6. Step 6: Final answer
    x = 146,218.51

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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.