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Finding the Fourth Proportional to 297,198.40, 445,851.60 and 97,463.20

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Solution

The fourth proportional to 297,198.40, 445,851.60 and 97,463.20 is: 146,212.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,198.40 : 445,851.60 = 97,463.20 : x
  2. Step 2: Convert to fraction form
    297,198.40/445,851.60 = 97,463.20/x
  3. Step 3: Cross multiply
    297,198.40x = 445,851.60 × 97,463.20
  4. Step 4: Simplify right side
    297,198.40x = 43,454,123,661.12
  5. Step 5: Solve for x
    x = 43,454,123,661.12/297,198.40
  6. Step 6: Final answer
    x = 146,212.51

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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.