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Finding the Fourth Proportional to 227,413.20, 340,463.70 and 220,852.20

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Solution

The fourth proportional to 227,413.20, 340,463.70 and 220,852.20 is: 330,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,413.20 : 340,463.70 = 220,852.20 : x
  2. Step 2: Convert to fraction form
    227,413.20/340,463.70 = 220,852.20/x
  3. Step 3: Cross multiply
    227,413.20x = 340,463.70 × 220,852.20
  4. Step 4: Simplify right side
    227,413.20x = 75,192,157,165.14
  5. Step 5: Solve for x
    x = 75,192,157,165.14/227,413.20
  6. Step 6: Final answer
    x = 330,641.13

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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.