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Finding the Fourth Proportional to 396,369.49, 594,533.02 and 140,184.31

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Solution

The fourth proportional to 396,369.49, 594,533.02 and 140,184.31 is: 210,268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,369.49 : 594,533.02 = 140,184.31 : x
  2. Step 2: Convert to fraction form
    396,369.49/594,533.02 = 140,184.31/x
  3. Step 3: Cross multiply
    396,369.49x = 594,533.02 × 140,184.31
  4. Step 4: Simplify right side
    396,369.49x = 83,344,197,507.33
  5. Step 5: Solve for x
    x = 83,344,197,507.33/396,369.49
  6. Step 6: Final answer
    x = 210,268.96

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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.