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Finding the Fourth Proportional to 322,413.66, 444,895.50 and 186,427.02

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Solution

The fourth proportional to 322,413.66, 444,895.50 and 186,427.02 is: 257,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,413.66 : 444,895.50 = 186,427.02 : x
  2. Step 2: Convert to fraction form
    322,413.66/444,895.50 = 186,427.02/x
  3. Step 3: Cross multiply
    322,413.66x = 444,895.50 × 186,427.02
  4. Step 4: Simplify right side
    322,413.66x = 82,940,542,276.41
  5. Step 5: Solve for x
    x = 82,940,542,276.41/322,413.66
  6. Step 6: Final answer
    x = 257,248.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.