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Finding the Fourth Proportional to 274,422.80, 410,827.80 and 204,611.60

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Solution

The fourth proportional to 274,422.80, 410,827.80 and 204,611.60 is: 306,316.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,422.80 : 410,827.80 = 204,611.60 : x
  2. Step 2: Convert to fraction form
    274,422.80/410,827.80 = 204,611.60/x
  3. Step 3: Cross multiply
    274,422.80x = 410,827.80 × 204,611.60
  4. Step 4: Simplify right side
    274,422.80x = 84,060,133,482.48
  5. Step 5: Solve for x
    x = 84,060,133,482.48/274,422.80
  6. Step 6: Final answer
    x = 306,316.14

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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.