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Finding the Fourth Proportional to 300,712.03, 414,981.36 and 164,745.80

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Solution

The fourth proportional to 300,712.03, 414,981.36 and 164,745.80 is: 227,348.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,712.03 : 414,981.36 = 164,745.80 : x
  2. Step 2: Convert to fraction form
    300,712.03/414,981.36 = 164,745.80/x
  3. Step 3: Cross multiply
    300,712.03x = 414,981.36 × 164,745.80
  4. Step 4: Simplify right side
    300,712.03x = 68,366,435,619.56
  5. Step 5: Solve for x
    x = 68,366,435,619.56/300,712.03
  6. Step 6: Final answer
    x = 227,348.52

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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.