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Finding the Fourth Proportional to 300,072.32, 413,958.84 and 214,050.32

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Solution

The fourth proportional to 300,072.32, 413,958.84 and 214,050.32 is: 295,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,072.32 : 413,958.84 = 214,050.32 : x
  2. Step 2: Convert to fraction form
    300,072.32/413,958.84 = 214,050.32/x
  3. Step 3: Cross multiply
    300,072.32x = 413,958.84 × 214,050.32
  4. Step 4: Simplify right side
    300,072.32x = 88,608,022,168.83
  5. Step 5: Solve for x
    x = 88,608,022,168.83/300,072.32
  6. Step 6: Final answer
    x = 295,288.89

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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.