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Finding the Fourth Proportional to 269,511.20, 404,558.40 and 151,413.20

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Solution

The fourth proportional to 269,511.20, 404,558.40 and 151,413.20 is: 227,283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,511.20 : 404,558.40 = 151,413.20 : x
  2. Step 2: Convert to fraction form
    269,511.20/404,558.40 = 151,413.20/x
  3. Step 3: Cross multiply
    269,511.20x = 404,558.40 × 151,413.20
  4. Step 4: Simplify right side
    269,511.20x = 61,255,481,930.88
  5. Step 5: Solve for x
    x = 61,255,481,930.88/269,511.20
  6. Step 6: Final answer
    x = 227,283.62

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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.