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Finding the Fourth Proportional to 300,716.88, 414,989.29 and 166,580.88

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Solution

The fourth proportional to 300,716.88, 414,989.29 and 166,580.88 is: 229,881.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,716.88 : 414,989.29 = 166,580.88 : x
  2. Step 2: Convert to fraction form
    300,716.88/414,989.29 = 166,580.88/x
  3. Step 3: Cross multiply
    300,716.88x = 414,989.29 × 166,580.88
  4. Step 4: Simplify right side
    300,716.88x = 69,129,281,118.78
  5. Step 5: Solve for x
    x = 69,129,281,118.78/300,716.88
  6. Step 6: Final answer
    x = 229,881.61

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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.