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Finding the Fourth Proportional to 321,049.81, 481,578.75 and 96,397.17

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Solution

The fourth proportional to 321,049.81, 481,578.75 and 96,397.17 is: 144,596.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,049.81 : 481,578.75 = 96,397.17 : x
  2. Step 2: Convert to fraction form
    321,049.81/481,578.75 = 96,397.17/x
  3. Step 3: Cross multiply
    321,049.81x = 481,578.75 × 96,397.17
  4. Step 4: Simplify right side
    321,049.81x = 46,422,828,632.14
  5. Step 5: Solve for x
    x = 46,422,828,632.14/321,049.81
  6. Step 6: Final answer
    x = 144,596.97

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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.