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Finding the Fourth Proportional to 304,413.51, 456,777.75 and 220,863.28

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Solution

The fourth proportional to 304,413.51, 456,777.75 and 220,863.28 is: 331,409.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,413.51 : 456,777.75 = 220,863.28 : x
  2. Step 2: Convert to fraction form
    304,413.51/456,777.75 = 220,863.28/x
  3. Step 3: Cross multiply
    304,413.51x = 456,777.75 × 220,863.28
  4. Step 4: Simplify right side
    304,413.51x = 100,885,432,096.02
  5. Step 5: Solve for x
    x = 100,885,432,096.02/304,413.51
  6. Step 6: Final answer
    x = 331,409.18

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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.