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Finding the Fourth Proportional to 294,234.62, 406,031.82 and 166,907.48

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Solution

The fourth proportional to 294,234.62, 406,031.82 and 166,907.48 is: 230,325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,234.62 : 406,031.82 = 166,907.48 : x
  2. Step 2: Convert to fraction form
    294,234.62/406,031.82 = 166,907.48/x
  3. Step 3: Cross multiply
    294,234.62x = 406,031.82 × 166,907.48
  4. Step 4: Simplify right side
    294,234.62x = 67,769,747,876.01
  5. Step 5: Solve for x
    x = 67,769,747,876.01/294,234.62
  6. Step 6: Final answer
    x = 230,325.54

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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.