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Finding the Fourth Proportional to 300,660, 414,924 and 166,524

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Solution

The fourth proportional to 300,660, 414,924 and 166,524 is: 229,810.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,660 : 414,924 = 166,524 : x
  2. Step 2: Convert to fraction form
    300,660/414,924 = 166,524/x
  3. Step 3: Cross multiply
    300,660x = 414,924 × 166,524
  4. Step 4: Simplify right side
    300,660x = 69,094,804,176
  5. Step 5: Solve for x
    x = 69,094,804,176/300,660
  6. Step 6: Final answer
    x = 229,810.43

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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.