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Finding the Fourth Proportional to 613,142.34, 919,379.92 and 213,675.86

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Solution

The fourth proportional to 613,142.34, 919,379.92 and 213,675.86 is: 320,397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,142.34 : 919,379.92 = 213,675.86 : x
  2. Step 2: Convert to fraction form
    613,142.34/919,379.92 = 213,675.86/x
  3. Step 3: Cross multiply
    613,142.34x = 919,379.92 × 213,675.86
  4. Step 4: Simplify right side
    613,142.34x = 196,449,295,072.73
  5. Step 5: Solve for x
    x = 196,449,295,072.73/613,142.34
  6. Step 6: Final answer
    x = 320,397.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.