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Finding the Fourth Proportional to 411,833.65, 618,149.94 and 198,751.52

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Solution

The fourth proportional to 411,833.65, 618,149.94 and 198,751.52 is: 298,320.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,833.65 : 618,149.94 = 198,751.52 : x
  2. Step 2: Convert to fraction form
    411,833.65/618,149.94 = 198,751.52/x
  3. Step 3: Cross multiply
    411,833.65x = 618,149.94 × 198,751.52
  4. Step 4: Simplify right side
    411,833.65x = 122,858,240,162.91
  5. Step 5: Solve for x
    x = 122,858,240,162.91/411,833.65
  6. Step 6: Final answer
    x = 298,320.06

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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.