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Finding the Fourth Proportional to 300,524, 414,723.12 and 166,388

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Solution

The fourth proportional to 300,524, 414,723.12 and 166,388 is: 229,615.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,524 : 414,723.12 = 166,388 : x
  2. Step 2: Convert to fraction form
    300,524/414,723.12 = 166,388/x
  3. Step 3: Cross multiply
    300,524x = 414,723.12 × 166,388
  4. Step 4: Simplify right side
    300,524x = 69,004,950,490.56
  5. Step 5: Solve for x
    x = 69,004,950,490.56/300,524
  6. Step 6: Final answer
    x = 229,615.44

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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.