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Finding the Fourth Proportional to 300,880.23, 415,217.97 and 164,911.25

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Solution

The fourth proportional to 300,880.23, 415,217.97 and 164,911.25 is: 227,579.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,880.23 : 415,217.97 = 164,911.25 : x
  2. Step 2: Convert to fraction form
    300,880.23/415,217.97 = 164,911.25/x
  3. Step 3: Cross multiply
    300,880.23x = 415,217.97 × 164,911.25
  4. Step 4: Simplify right side
    300,880.23x = 68,474,112,379.07
  5. Step 5: Solve for x
    x = 68,474,112,379.07/300,880.23
  6. Step 6: Final answer
    x = 227,579.30

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1.5x scale

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.