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Finding the Fourth Proportional to 1,412,324.06, 1,949,019.75 and 767,745.29

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Solution

The fourth proportional to 1,412,324.06, 1,949,019.75 and 767,745.29 is: 1,059,495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,324.06 : 1,949,019.75 = 767,745.29 : x
  2. Step 2: Convert to fraction form
    1,412,324.06/1,949,019.75 = 767,745.29/x
  3. Step 3: Cross multiply
    1,412,324.06x = 1,949,019.75 × 767,745.29
  4. Step 4: Simplify right side
    1,412,324.06x = 1,496,350,733,179.48
  5. Step 5: Solve for x
    x = 1,496,350,733,179.48/1,412,324.06
  6. Step 6: Final answer
    x = 1,059,495.32

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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.