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Finding the Fourth Proportional to 1,396,441, 2,094,661.50 and 509,977

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Solution

The fourth proportional to 1,396,441, 2,094,661.50 and 509,977 is: 764,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396,441 : 2,094,661.50 = 509,977 : x
  2. Step 2: Convert to fraction form
    1,396,441/2,094,661.50 = 509,977/x
  3. Step 3: Cross multiply
    1,396,441x = 2,094,661.50 × 509,977
  4. Step 4: Simplify right side
    1,396,441x = 1,068,229,187,785.50
  5. Step 5: Solve for x
    x = 1,068,229,187,785.50/1,396,441
  6. Step 6: Final answer
    x = 764,965.50

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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.