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Finding the Fourth Proportional to 491,251, 677,926.38 and 279,283

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Solution

The fourth proportional to 491,251, 677,926.38 and 279,283 is: 385,410.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,251 : 677,926.38 = 279,283 : x
  2. Step 2: Convert to fraction form
    491,251/677,926.38 = 279,283/x
  3. Step 3: Cross multiply
    491,251x = 677,926.38 × 279,283
  4. Step 4: Simplify right side
    491,251x = 189,333,313,185.54
  5. Step 5: Solve for x
    x = 189,333,313,185.54/491,251
  6. Step 6: Final answer
    x = 385,410.54

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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.