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Finding the Fourth Proportional to 300,284.96, 414,393.22 and 164,318.92

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Solution

The fourth proportional to 300,284.96, 414,393.22 and 164,318.92 is: 226,760.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,284.96 : 414,393.22 = 164,318.92 : x
  2. Step 2: Convert to fraction form
    300,284.96/414,393.22 = 164,318.92/x
  3. Step 3: Cross multiply
    300,284.96x = 414,393.22 × 164,318.92
  4. Step 4: Simplify right side
    300,284.96x = 68,092,647,569.68
  5. Step 5: Solve for x
    x = 68,092,647,569.68/300,284.96
  6. Step 6: Final answer
    x = 226,760.10

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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.