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Finding the Fourth Proportional to 411,413.20, 616,998.84 and 174,754

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Solution

The fourth proportional to 411,413.20, 616,998.84 and 174,754 is: 262,079.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,413.20 : 616,998.84 = 174,754 : x
  2. Step 2: Convert to fraction form
    411,413.20/616,998.84 = 174,754/x
  3. Step 3: Cross multiply
    411,413.20x = 616,998.84 × 174,754
  4. Step 4: Simplify right side
    411,413.20x = 107,823,015,285.36
  5. Step 5: Solve for x
    x = 107,823,015,285.36/411,413.20
  6. Step 6: Final answer
    x = 262,079.62

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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.