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Finding the Fourth Proportional to 376,493.34, 519,569.19 and 206,728.14

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Solution

The fourth proportional to 376,493.34, 519,569.19 and 206,728.14 is: 285,289.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,493.34 : 519,569.19 = 206,728.14 : x
  2. Step 2: Convert to fraction form
    376,493.34/519,569.19 = 206,728.14/x
  3. Step 3: Cross multiply
    376,493.34x = 519,569.19 × 206,728.14
  4. Step 4: Simplify right side
    376,493.34x = 107,409,572,250.01
  5. Step 5: Solve for x
    x = 107,409,572,250.01/376,493.34
  6. Step 6: Final answer
    x = 285,289.44

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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.