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Finding the Fourth Proportional to 320,989.38, 481,564.13 and 96,353.97

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Solution

The fourth proportional to 320,989.38, 481,564.13 and 96,353.97 is: 144,554.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,989.38 : 481,564.13 = 96,353.97 : x
  2. Step 2: Convert to fraction form
    320,989.38/481,564.13 = 96,353.97/x
  3. Step 3: Cross multiply
    320,989.38x = 481,564.13 × 96,353.97
  4. Step 4: Simplify right side
    320,989.38x = 46,400,615,253.33
  5. Step 5: Solve for x
    x = 46,400,615,253.33/320,989.38
  6. Step 6: Final answer
    x = 144,554.99

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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.