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Finding the Fourth Proportional to 300,659.38, 414,892.23 and 164,666.25

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Solution

The fourth proportional to 300,659.38, 414,892.23 and 164,666.25 is: 227,229.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,659.38 : 414,892.23 = 164,666.25 : x
  2. Step 2: Convert to fraction form
    300,659.38/414,892.23 = 164,666.25/x
  3. Step 3: Cross multiply
    300,659.38x = 414,892.23 × 164,666.25
  4. Step 4: Simplify right side
    300,659.38x = 68,318,747,050.74
  5. Step 5: Solve for x
    x = 68,318,747,050.74/300,659.38
  6. Step 6: Final answer
    x = 227,229.72

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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.