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Finding the Fourth Proportional to 513,361.80, 770,095.49 and 193,782.86

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Solution

The fourth proportional to 513,361.80, 770,095.49 and 193,782.86 is: 290,694.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,361.80 : 770,095.49 = 193,782.86 : x
  2. Step 2: Convert to fraction form
    513,361.80/770,095.49 = 193,782.86/x
  3. Step 3: Cross multiply
    513,361.80x = 770,095.49 × 193,782.86
  4. Step 4: Simplify right side
    513,361.80x = 149,231,306,525.30
  5. Step 5: Solve for x
    x = 149,231,306,525.30/513,361.80
  6. Step 6: Final answer
    x = 290,694.22

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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.