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Finding the Fourth Proportional to 300,268.32, 414,366.76 and 164,300.72

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Solution

The fourth proportional to 300,268.32, 414,366.76 and 164,300.72 is: 226,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,268.32 : 414,366.76 = 164,300.72 : x
  2. Step 2: Convert to fraction form
    300,268.32/414,366.76 = 164,300.72/x
  3. Step 3: Cross multiply
    300,268.32x = 414,366.76 × 164,300.72
  4. Step 4: Simplify right side
    300,268.32x = 68,080,757,012.07
  5. Step 5: Solve for x
    x = 68,080,757,012.07/300,268.32
  6. Step 6: Final answer
    x = 226,733.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.