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Finding the Fourth Proportional to 456,766.77, 685,133.73 and 119,804.73

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Solution

The fourth proportional to 456,766.77, 685,133.73 and 119,804.73 is: 179,702.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,766.77 : 685,133.73 = 119,804.73 : x
  2. Step 2: Convert to fraction form
    456,766.77/685,133.73 = 119,804.73/x
  3. Step 3: Cross multiply
    456,766.77x = 685,133.73 × 119,804.73
  4. Step 4: Simplify right side
    456,766.77x = 82,082,261,536.54
  5. Step 5: Solve for x
    x = 82,082,261,536.54/456,766.77
  6. Step 6: Final answer
    x = 179,702.79

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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.