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Finding the Fourth Proportional to 317,879.78, 476,745.76 and 118,294.16

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Solution

The fourth proportional to 317,879.78, 476,745.76 and 118,294.16 is: 177,413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,879.78 : 476,745.76 = 118,294.16 : x
  2. Step 2: Convert to fraction form
    317,879.78/476,745.76 = 118,294.16/x
  3. Step 3: Cross multiply
    317,879.78x = 476,745.76 × 118,294.16
  4. Step 4: Simplify right side
    317,879.78x = 56,396,238,917.03
  5. Step 5: Solve for x
    x = 56,396,238,917.03/317,879.78
  6. Step 6: Final answer
    x = 177,413.73

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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.