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Finding the Fourth Proportional to 300,539.45, 414,744.42 and 164,581.70

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Solution

The fourth proportional to 300,539.45, 414,744.42 and 164,581.70 is: 227,122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,539.45 : 414,744.42 = 164,581.70 : x
  2. Step 2: Convert to fraction form
    300,539.45/414,744.42 = 164,581.70/x
  3. Step 3: Cross multiply
    300,539.45x = 414,744.42 × 164,581.70
  4. Step 4: Simplify right side
    300,539.45x = 68,259,343,157.43
  5. Step 5: Solve for x
    x = 68,259,343,157.43/300,539.45
  6. Step 6: Final answer
    x = 227,122.74

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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.