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Finding the Fourth Proportional to 403,641.20, 605,413.20 and 166,959.20

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Solution

The fourth proportional to 403,641.20, 605,413.20 and 166,959.20 is: 250,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,641.20 : 605,413.20 = 166,959.20 : x
  2. Step 2: Convert to fraction form
    403,641.20/605,413.20 = 166,959.20/x
  3. Step 3: Cross multiply
    403,641.20x = 605,413.20 × 166,959.20
  4. Step 4: Simplify right side
    403,641.20x = 101,079,303,541.44
  5. Step 5: Solve for x
    x = 101,079,303,541.44/403,641.20
  6. Step 6: Final answer
    x = 250,418.70

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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.