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Finding the Fourth Proportional to 327,413.54, 491,071.71 and 90,731.54

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Solution

The fourth proportional to 327,413.54, 491,071.71 and 90,731.54 is: 136,083.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,413.54 : 491,071.71 = 90,731.54 : x
  2. Step 2: Convert to fraction form
    327,413.54/491,071.71 = 90,731.54/x
  3. Step 3: Cross multiply
    327,413.54x = 491,071.71 × 90,731.54
  4. Step 4: Simplify right side
    327,413.54x = 44,555,692,498.73
  5. Step 5: Solve for x
    x = 44,555,692,498.73/327,413.54
  6. Step 6: Final answer
    x = 136,083.84

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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.