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Finding the Fourth Proportional to 300,473.22, 414,653.39 and 164,508.24

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Solution

The fourth proportional to 300,473.22, 414,653.39 and 164,508.24 is: 227,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,473.22 : 414,653.39 = 164,508.24 : x
  2. Step 2: Convert to fraction form
    300,473.22/414,653.39 = 164,508.24/x
  3. Step 3: Cross multiply
    300,473.22x = 414,653.39 × 164,508.24
  4. Step 4: Simplify right side
    300,473.22x = 68,213,899,398.93
  5. Step 5: Solve for x
    x = 68,213,899,398.93/300,473.22
  6. Step 6: Final answer
    x = 227,021.56

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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.