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Finding the Fourth Proportional to 513,630.80, 770,446.20 and 233,694.80

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Solution

The fourth proportional to 513,630.80, 770,446.20 and 233,694.80 is: 350,542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,630.80 : 770,446.20 = 233,694.80 : x
  2. Step 2: Convert to fraction form
    513,630.80/770,446.20 = 233,694.80/x
  3. Step 3: Cross multiply
    513,630.80x = 770,446.20 × 233,694.80
  4. Step 4: Simplify right side
    513,630.80x = 180,049,270,619.76
  5. Step 5: Solve for x
    x = 180,049,270,619.76/513,630.80
  6. Step 6: Final answer
    x = 350,542.20

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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.