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Finding the Fourth Proportional to 300,458.63, 414,632.93 and 166,322.63

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Solution

The fourth proportional to 300,458.63, 414,632.93 and 166,322.63 is: 229,525.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,458.63 : 414,632.93 = 166,322.63 : x
  2. Step 2: Convert to fraction form
    300,458.63/414,632.93 = 166,322.63/x
  3. Step 3: Cross multiply
    300,458.63x = 414,632.93 × 166,322.63
  4. Step 4: Simplify right side
    300,458.63x = 68,962,836,497.43
  5. Step 5: Solve for x
    x = 68,962,836,497.43/300,458.63
  6. Step 6: Final answer
    x = 229,525.23

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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.