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Finding the Fourth Proportional to 376,906.58, 520,136.14 and 204,827.95

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Solution

The fourth proportional to 376,906.58, 520,136.14 and 204,827.95 is: 282,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,906.58 : 520,136.14 = 204,827.95 : x
  2. Step 2: Convert to fraction form
    376,906.58/520,136.14 = 204,827.95/x
  3. Step 3: Cross multiply
    376,906.58x = 520,136.14 × 204,827.95
  4. Step 4: Simplify right side
    376,906.58x = 106,538,419,277.11
  5. Step 5: Solve for x
    x = 106,538,419,277.11/376,906.58
  6. Step 6: Final answer
    x = 282,665.32

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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.