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Finding the Fourth Proportional to 396,253.65, 594,399.32 and 126,410.46

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Solution

The fourth proportional to 396,253.65, 594,399.32 and 126,410.46 is: 189,621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,253.65 : 594,399.32 = 126,410.46 : x
  2. Step 2: Convert to fraction form
    396,253.65/594,399.32 = 126,410.46/x
  3. Step 3: Cross multiply
    396,253.65x = 594,399.32 × 126,410.46
  4. Step 4: Simplify right side
    396,253.65x = 75,138,291,464.89
  5. Step 5: Solve for x
    x = 75,138,291,464.89/396,253.65
  6. Step 6: Final answer
    x = 189,621.70

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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.