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Finding the Fourth Proportional to 398,584.92, 597,879.54 and 118,104.60

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Solution

The fourth proportional to 398,584.92, 597,879.54 and 118,104.60 is: 177,157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,584.92 : 597,879.54 = 118,104.60 : x
  2. Step 2: Convert to fraction form
    398,584.92/597,879.54 = 118,104.60/x
  3. Step 3: Cross multiply
    398,584.92x = 597,879.54 × 118,104.60
  4. Step 4: Simplify right side
    398,584.92x = 70,612,323,919.88
  5. Step 5: Solve for x
    x = 70,612,323,919.88/398,584.92
  6. Step 6: Final answer
    x = 177,157.54

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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.