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Finding the Fourth Proportional to 300,598, 414,825.36 and 166,462

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Solution

The fourth proportional to 300,598, 414,825.36 and 166,462 is: 229,717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,598 : 414,825.36 = 166,462 : x
  2. Step 2: Convert to fraction form
    300,598/414,825.36 = 166,462/x
  3. Step 3: Cross multiply
    300,598x = 414,825.36 × 166,462
  4. Step 4: Simplify right side
    300,598x = 69,052,659,076.32
  5. Step 5: Solve for x
    x = 69,052,659,076.32/300,598
  6. Step 6: Final answer
    x = 229,717.63

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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.