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Finding the Fourth Proportional to 392,383.13, 588,580.22 and 111,900.38

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Solution

The fourth proportional to 392,383.13, 588,580.22 and 111,900.38 is: 167,852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,383.13 : 588,580.22 = 111,900.38 : x
  2. Step 2: Convert to fraction form
    392,383.13/588,580.22 = 111,900.38/x
  3. Step 3: Cross multiply
    392,383.13x = 588,580.22 × 111,900.38
  4. Step 4: Simplify right side
    392,383.13x = 65,862,347,615.33
  5. Step 5: Solve for x
    x = 65,862,347,615.33/392,383.13
  6. Step 6: Final answer
    x = 167,852.14

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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.