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Finding the Fourth Proportional to 1,410,922.82, 1,947,087.78 and 766,355.60

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Solution

The fourth proportional to 1,410,922.82, 1,947,087.78 and 766,355.60 is: 1,057,578.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,922.82 : 1,947,087.78 = 766,355.60 : x
  2. Step 2: Convert to fraction form
    1,410,922.82/1,947,087.78 = 766,355.60/x
  3. Step 3: Cross multiply
    1,410,922.82x = 1,947,087.78 × 766,355.60
  4. Step 4: Simplify right side
    1,410,922.82x = 1,492,161,623,894.57
  5. Step 5: Solve for x
    x = 1,492,161,623,894.57/1,410,922.82
  6. Step 6: Final answer
    x = 1,057,578.49

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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.