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Finding the Fourth Proportional to 456,695.82, 685,046.56 and 119,733.44

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Solution

The fourth proportional to 456,695.82, 685,046.56 and 119,733.44 is: 179,600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,695.82 : 685,046.56 = 119,733.44 : x
  2. Step 2: Convert to fraction form
    456,695.82/685,046.56 = 119,733.44/x
  3. Step 3: Cross multiply
    456,695.82x = 685,046.56 × 119,733.44
  4. Step 4: Simplify right side
    456,695.82x = 82,022,980,590.30
  5. Step 5: Solve for x
    x = 82,022,980,590.30/456,695.82
  6. Step 6: Final answer
    x = 179,600.90

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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.