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Finding the Fourth Proportional to 321,794.25, 482,769.41 and 97,141.26

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Solution

The fourth proportional to 321,794.25, 482,769.41 and 97,141.26 is: 145,735.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,794.25 : 482,769.41 = 97,141.26 : x
  2. Step 2: Convert to fraction form
    321,794.25/482,769.41 = 97,141.26/x
  3. Step 3: Cross multiply
    321,794.25x = 482,769.41 × 97,141.26
  4. Step 4: Simplify right side
    321,794.25x = 46,896,825,877.30
  5. Step 5: Solve for x
    x = 46,896,825,877.30/321,794.25
  6. Step 6: Final answer
    x = 145,735.44

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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.