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Finding the Fourth Proportional to 411,833.77, 618,150.12 and 198,751.66

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Solution

The fourth proportional to 411,833.77, 618,150.12 and 198,751.66 is: 298,320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,833.77 : 618,150.12 = 198,751.66 : x
  2. Step 2: Convert to fraction form
    411,833.77/618,150.12 = 198,751.66/x
  3. Step 3: Cross multiply
    411,833.77x = 618,150.12 × 198,751.66
  4. Step 4: Simplify right side
    411,833.77x = 122,858,362,479.20
  5. Step 5: Solve for x
    x = 122,858,362,479.20/411,833.77
  6. Step 6: Final answer
    x = 298,320.27

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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.