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Finding the Fourth Proportional to 513,632.80, 770,449.20 and 233,696.80

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Solution

The fourth proportional to 513,632.80, 770,449.20 and 233,696.80 is: 350,545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,632.80 : 770,449.20 = 233,696.80 : x
  2. Step 2: Convert to fraction form
    513,632.80/770,449.20 = 233,696.80/x
  3. Step 3: Cross multiply
    513,632.80x = 770,449.20 × 233,696.80
  4. Step 4: Simplify right side
    513,632.80x = 180,051,512,602.56
  5. Step 5: Solve for x
    x = 180,051,512,602.56/513,632.80
  6. Step 6: Final answer
    x = 350,545.20

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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.