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Finding the Fourth Proportional to 410,879.40, 616,319.10 and 130,418.60

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Solution

The fourth proportional to 410,879.40, 616,319.10 and 130,418.60 is: 195,627.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,879.40 : 616,319.10 = 130,418.60 : x
  2. Step 2: Convert to fraction form
    410,879.40/616,319.10 = 130,418.60/x
  3. Step 3: Cross multiply
    410,879.40x = 616,319.10 × 130,418.60
  4. Step 4: Simplify right side
    410,879.40x = 80,379,474,175.26
  5. Step 5: Solve for x
    x = 80,379,474,175.26/410,879.40
  6. Step 6: Final answer
    x = 195,627.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.