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Finding the Fourth Proportional to 300,293.22, 414,398.24 and 164,326.62

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Solution

The fourth proportional to 300,293.22, 414,398.24 and 164,326.62 is: 226,767.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,293.22 : 414,398.24 = 164,326.62 : x
  2. Step 2: Convert to fraction form
    300,293.22/414,398.24 = 164,326.62/x
  3. Step 3: Cross multiply
    300,293.22x = 414,398.24 × 164,326.62
  4. Step 4: Simplify right side
    300,293.22x = 68,096,662,113.15
  5. Step 5: Solve for x
    x = 68,096,662,113.15/300,293.22
  6. Step 6: Final answer
    x = 226,767.23

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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.