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Finding the Fourth Proportional to 561,147.11, 842,056.01 and 206,197.01

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Solution

The fourth proportional to 561,147.11, 842,056.01 and 206,197.01 is: 309,418.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,147.11 : 842,056.01 = 206,197.01 : x
  2. Step 2: Convert to fraction form
    561,147.11/842,056.01 = 206,197.01/x
  3. Step 3: Cross multiply
    561,147.11x = 842,056.01 × 206,197.01
  4. Step 4: Simplify right side
    561,147.11x = 173,629,431,514.53
  5. Step 5: Solve for x
    x = 173,629,431,514.53/561,147.11
  6. Step 6: Final answer
    x = 309,418.74

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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.