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Finding the Fourth Proportional to 456,891.36, 685,359.72 and 119,932.98

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Solution

The fourth proportional to 456,891.36, 685,359.72 and 119,932.98 is: 179,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,891.36 : 685,359.72 = 119,932.98 : x
  2. Step 2: Convert to fraction form
    456,891.36/685,359.72 = 119,932.98/x
  3. Step 3: Cross multiply
    456,891.36x = 685,359.72 × 119,932.98
  4. Step 4: Simplify right side
    456,891.36x = 82,197,233,591.57
  5. Step 5: Solve for x
    x = 82,197,233,591.57/456,891.36
  6. Step 6: Final answer
    x = 179,905.42

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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.