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Finding the Fourth Proportional to 376,598.54, 519,731.43 and 206,834.42

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Solution

The fourth proportional to 376,598.54, 519,731.43 and 206,834.42 is: 285,445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,598.54 : 519,731.43 = 206,834.42 : x
  2. Step 2: Convert to fraction form
    376,598.54/519,731.43 = 206,834.42/x
  3. Step 3: Cross multiply
    376,598.54x = 519,731.43 × 206,834.42
  4. Step 4: Simplify right side
    376,598.54x = 107,498,348,879.82
  5. Step 5: Solve for x
    x = 107,498,348,879.82/376,598.54
  6. Step 6: Final answer
    x = 285,445.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.