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Finding the Fourth Proportional to 300,540.45, 414,745.80 and 164,582.70

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Solution

The fourth proportional to 300,540.45, 414,745.80 and 164,582.70 is: 227,124.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,540.45 : 414,745.80 = 164,582.70 : x
  2. Step 2: Convert to fraction form
    300,540.45/414,745.80 = 164,582.70/x
  3. Step 3: Cross multiply
    300,540.45x = 414,745.80 × 164,582.70
  4. Step 4: Simplify right side
    300,540.45x = 68,259,983,577.66
  5. Step 5: Solve for x
    x = 68,259,983,577.66/300,540.45
  6. Step 6: Final answer
    x = 227,124.11

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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.