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Finding the Fourth Proportional to 219,002.40, 329,194.80 and 202,413.60

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Solution

The fourth proportional to 219,002.40, 329,194.80 and 202,413.60 is: 304,259.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,002.40 : 329,194.80 = 202,413.60 : x
  2. Step 2: Convert to fraction form
    219,002.40/329,194.80 = 202,413.60/x
  3. Step 3: Cross multiply
    219,002.40x = 329,194.80 × 202,413.60
  4. Step 4: Simplify right side
    219,002.40x = 66,633,504,569.28
  5. Step 5: Solve for x
    x = 66,633,504,569.28/219,002.40
  6. Step 6: Final answer
    x = 304,259.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.