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Finding the Fourth Proportional to 300,929, 415,282.08 and 166,793

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Solution

The fourth proportional to 300,929, 415,282.08 and 166,793 is: 230,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,929 : 415,282.08 = 166,793 : x
  2. Step 2: Convert to fraction form
    300,929/415,282.08 = 166,793/x
  3. Step 3: Cross multiply
    300,929x = 415,282.08 × 166,793
  4. Step 4: Simplify right side
    300,929x = 69,266,143,969.44
  5. Step 5: Solve for x
    x = 69,266,143,969.44/300,929
  6. Step 6: Final answer
    x = 230,174.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.