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Finding the Fourth Proportional to 300,486.66, 414,655.83 and 164,494.55

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Solution

The fourth proportional to 300,486.66, 414,655.83 and 164,494.55 is: 226,993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,486.66 : 414,655.83 = 164,494.55 : x
  2. Step 2: Convert to fraction form
    300,486.66/414,655.83 = 164,494.55/x
  3. Step 3: Cross multiply
    300,486.66x = 414,655.83 × 164,494.55
  4. Step 4: Simplify right side
    300,486.66x = 68,208,622,087.45
  5. Step 5: Solve for x
    x = 68,208,622,087.45/300,486.66
  6. Step 6: Final answer
    x = 226,993.84

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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.