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Finding the Fourth Proportional to 491,862.60, 678,795.66 and 300,816

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Solution

The fourth proportional to 491,862.60, 678,795.66 and 300,816 is: 415,141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,862.60 : 678,795.66 = 300,816 : x
  2. Step 2: Convert to fraction form
    491,862.60/678,795.66 = 300,816/x
  3. Step 3: Cross multiply
    491,862.60x = 678,795.66 × 300,816
  4. Step 4: Simplify right side
    491,862.60x = 204,192,595,258.56
  5. Step 5: Solve for x
    x = 204,192,595,258.56/491,862.60
  6. Step 6: Final answer
    x = 415,141.54

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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.