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Finding the Fourth Proportional to 298,413.52, 411,810.24 and 164,277.52

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Solution

The fourth proportional to 298,413.52, 411,810.24 and 164,277.52 is: 226,702.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,413.52 : 411,810.24 = 164,277.52 : x
  2. Step 2: Convert to fraction form
    298,413.52/411,810.24 = 164,277.52/x
  3. Step 3: Cross multiply
    298,413.52x = 411,810.24 × 164,277.52
  4. Step 4: Simplify right side
    298,413.52x = 67,651,164,937.80
  5. Step 5: Solve for x
    x = 67,651,164,937.80/298,413.52
  6. Step 6: Final answer
    x = 226,702.75

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