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Finding the Fourth Proportional to 392,093.65, 588,128.32 and 111,610.90

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Solution

The fourth proportional to 392,093.65, 588,128.32 and 111,610.90 is: 167,412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,093.65 : 588,128.32 = 111,610.90 : x
  2. Step 2: Convert to fraction form
    392,093.65/588,128.32 = 111,610.90/x
  3. Step 3: Cross multiply
    392,093.65x = 588,128.32 × 111,610.90
  4. Step 4: Simplify right side
    392,093.65x = 65,641,531,110.69
  5. Step 5: Solve for x
    x = 65,641,531,110.69/392,093.65
  6. Step 6: Final answer
    x = 167,412.89

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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.