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Finding the Fourth Proportional to 975,745.20, 1,461,544.20 and 809,857.20

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Solution

The fourth proportional to 975,745.20, 1,461,544.20 and 809,857.20 is: 1,213,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,745.20 : 1,461,544.20 = 809,857.20 : x
  2. Step 2: Convert to fraction form
    975,745.20/1,461,544.20 = 809,857.20/x
  3. Step 3: Cross multiply
    975,745.20x = 1,461,544.20 × 809,857.20
  4. Step 4: Simplify right side
    975,745.20x = 1,183,642,093,488.24
  5. Step 5: Solve for x
    x = 1,183,642,093,488.24/975,745.20
  6. Step 6: Final answer
    x = 1,213,064.74

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