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Finding the Fourth Proportional to 302,464.40, 453,178.20 and 197,229.20

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Solution

The fourth proportional to 302,464.40, 453,178.20 and 197,229.20 is: 295,505.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,464.40 : 453,178.20 = 197,229.20 : x
  2. Step 2: Convert to fraction form
    302,464.40/453,178.20 = 197,229.20/x
  3. Step 3: Cross multiply
    302,464.40x = 453,178.20 × 197,229.20
  4. Step 4: Simplify right side
    302,464.40x = 89,379,973,843.44
  5. Step 5: Solve for x
    x = 89,379,973,843.44/302,464.40
  6. Step 6: Final answer
    x = 295,505.76

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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.