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Finding the Fourth Proportional to 317,695.20, 476,413.20 and 107,224.80

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Solution

The fourth proportional to 317,695.20, 476,413.20 and 107,224.80 is: 160,793.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,695.20 : 476,413.20 = 107,224.80 : x
  2. Step 2: Convert to fraction form
    317,695.20/476,413.20 = 107,224.80/x
  3. Step 3: Cross multiply
    317,695.20x = 476,413.20 × 107,224.80
  4. Step 4: Simplify right side
    317,695.20x = 51,083,310,087.36
  5. Step 5: Solve for x
    x = 51,083,310,087.36/317,695.20
  6. Step 6: Final answer
    x = 160,793.46

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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.