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Finding the Fourth Proportional to 411,832.77, 618,148.62 and 198,750.66

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Solution

The fourth proportional to 411,832.77, 618,148.62 and 198,750.66 is: 298,318.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,832.77 : 618,148.62 = 198,750.66 : x
  2. Step 2: Convert to fraction form
    411,832.77/618,148.62 = 198,750.66/x
  3. Step 3: Cross multiply
    411,832.77x = 618,148.62 × 198,750.66
  4. Step 4: Simplify right side
    411,832.77x = 122,857,446,203.09
  5. Step 5: Solve for x
    x = 122,857,446,203.09/411,832.77
  6. Step 6: Final answer
    x = 298,318.77

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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.