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Finding the Fourth Proportional to 465,736.14, 699,092.78 and 412,767

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Solution

The fourth proportional to 465,736.14, 699,092.78 and 412,767 is: 619,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,736.14 : 699,092.78 = 412,767 : x
  2. Step 2: Convert to fraction form
    465,736.14/699,092.78 = 412,767/x
  3. Step 3: Cross multiply
    465,736.14x = 699,092.78 × 412,767
  4. Step 4: Simplify right side
    465,736.14x = 288,562,427,458.43
  5. Step 5: Solve for x
    x = 288,562,427,458.43/465,736.14
  6. Step 6: Final answer
    x = 619,583.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.