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Finding the Fourth Proportional to 320,687.88, 480,896.47 and 96,080.24

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Solution

The fourth proportional to 320,687.88, 480,896.47 and 96,080.24 is: 144,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,687.88 : 480,896.47 = 96,080.24 : x
  2. Step 2: Convert to fraction form
    320,687.88/480,896.47 = 96,080.24/x
  3. Step 3: Cross multiply
    320,687.88x = 480,896.47 × 96,080.24
  4. Step 4: Simplify right side
    320,687.88x = 46,204,645,367.87
  5. Step 5: Solve for x
    x = 46,204,645,367.87/320,687.88
  6. Step 6: Final answer
    x = 144,079.80

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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.