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Finding the Fourth Proportional to 456,698.06, 685,049.94 and 119,735.68

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Solution

The fourth proportional to 456,698.06, 685,049.94 and 119,735.68 is: 179,604.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,698.06 : 685,049.94 = 119,735.68 : x
  2. Step 2: Convert to fraction form
    456,698.06/685,049.94 = 119,735.68/x
  3. Step 3: Cross multiply
    456,698.06x = 685,049.94 × 119,735.68
  4. Step 4: Simplify right side
    456,698.06x = 82,024,918,687.23
  5. Step 5: Solve for x
    x = 82,024,918,687.23/456,698.06
  6. Step 6: Final answer
    x = 179,604.26

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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.