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Finding the Fourth Proportional to 411,833.52, 618,149.75 and 198,751.41

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Solution

The fourth proportional to 411,833.52, 618,149.75 and 198,751.41 is: 298,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,833.52 : 618,149.75 = 198,751.41 : x
  2. Step 2: Convert to fraction form
    411,833.52/618,149.75 = 198,751.41/x
  3. Step 3: Cross multiply
    411,833.52x = 618,149.75 × 198,751.41
  4. Step 4: Simplify right side
    411,833.52x = 122,858,133,409.89
  5. Step 5: Solve for x
    x = 122,858,133,409.89/411,833.52
  6. Step 6: Final answer
    x = 298,319.90

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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.