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Finding the Fourth Proportional to 300,713.30, 414,984.71 and 162,892.51

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Solution

The fourth proportional to 300,713.30, 414,984.71 and 162,892.51 is: 224,791.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,713.30 : 414,984.71 = 162,892.51 : x
  2. Step 2: Convert to fraction form
    300,713.30/414,984.71 = 162,892.51/x
  3. Step 3: Cross multiply
    300,713.30x = 414,984.71 × 162,892.51
  4. Step 4: Simplify right side
    300,713.30x = 67,597,901,023.52
  5. Step 5: Solve for x
    x = 67,597,901,023.52/300,713.30
  6. Step 6: Final answer
    x = 224,791.86

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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.