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Finding the Fourth Proportional to 247,379.76, 341,704.44 and 182,980

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Solution

The fourth proportional to 247,379.76, 341,704.44 and 182,980 is: 252,749.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,379.76 : 341,704.44 = 182,980 : x
  2. Step 2: Convert to fraction form
    247,379.76/341,704.44 = 182,980/x
  3. Step 3: Cross multiply
    247,379.76x = 341,704.44 × 182,980
  4. Step 4: Simplify right side
    247,379.76x = 62,525,078,431.20
  5. Step 5: Solve for x
    x = 62,525,078,431.20/247,379.76
  6. Step 6: Final answer
    x = 252,749.37

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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.