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Finding the Fourth Proportional to 320,851.67, 481,750.61 and 178,974.14

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Solution

The fourth proportional to 320,851.67, 481,750.61 and 178,974.14 is: 268,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,851.67 : 481,750.61 = 178,974.14 : x
  2. Step 2: Convert to fraction form
    320,851.67/481,750.61 = 178,974.14/x
  3. Step 3: Cross multiply
    320,851.67x = 481,750.61 × 178,974.14
  4. Step 4: Simplify right side
    320,851.67x = 86,220,902,771.04
  5. Step 5: Solve for x
    x = 86,220,902,771.04/320,851.67
  6. Step 6: Final answer
    x = 268,725.12

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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.