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Finding the Fourth Proportional to 300,797.46, 415,100.46 and 166,661.46

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Solution

The fourth proportional to 300,797.46, 415,100.46 and 166,661.46 is: 229,992.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,797.46 : 415,100.46 = 166,661.46 : x
  2. Step 2: Convert to fraction form
    300,797.46/415,100.46 = 166,661.46/x
  3. Step 3: Cross multiply
    300,797.46x = 415,100.46 × 166,661.46
  4. Step 4: Simplify right side
    300,797.46x = 69,181,248,710.27
  5. Step 5: Solve for x
    x = 69,181,248,710.27/300,797.46
  6. Step 6: Final answer
    x = 229,992.80

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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.