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Finding the Fourth Proportional to 483,760.61, 725,728.50 and 199,293.09

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Solution

The fourth proportional to 483,760.61, 725,728.50 and 199,293.09 is: 298,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,760.61 : 725,728.50 = 199,293.09 : x
  2. Step 2: Convert to fraction form
    483,760.61/725,728.50 = 199,293.09/x
  3. Step 3: Cross multiply
    483,760.61x = 725,728.50 × 199,293.09
  4. Step 4: Simplify right side
    483,760.61x = 144,632,672,544.58
  5. Step 5: Solve for x
    x = 144,632,672,544.58/483,760.61
  6. Step 6: Final answer
    x = 298,975.71

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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.