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Finding the Fourth Proportional to 699,716.23, 965,906.33 and 470,406.52

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Solution

The fourth proportional to 699,716.23, 965,906.33 and 470,406.52 is: 649,361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,716.23 : 965,906.33 = 470,406.52 : x
  2. Step 2: Convert to fraction form
    699,716.23/965,906.33 = 470,406.52/x
  3. Step 3: Cross multiply
    699,716.23x = 965,906.33 × 470,406.52
  4. Step 4: Simplify right side
    699,716.23x = 454,368,631,409.44
  5. Step 5: Solve for x
    x = 454,368,631,409.44/699,716.23
  6. Step 6: Final answer
    x = 649,361.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.