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Finding the Fourth Proportional to 300,268.83, 414,367.45 and 164,301.22

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Solution

The fourth proportional to 300,268.83, 414,367.45 and 164,301.22 is: 226,733.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,268.83 : 414,367.45 = 164,301.22 : x
  2. Step 2: Convert to fraction form
    300,268.83/414,367.45 = 164,301.22/x
  3. Step 3: Cross multiply
    300,268.83x = 414,367.45 × 164,301.22
  4. Step 4: Simplify right side
    300,268.83x = 68,081,077,563.29
  5. Step 5: Solve for x
    x = 68,081,077,563.29/300,268.83
  6. Step 6: Final answer
    x = 226,733.75

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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.