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Finding the Fourth Proportional to 1,410,930.82, 1,947,098.82 and 766,363.60

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Solution

The fourth proportional to 1,410,930.82, 1,947,098.82 and 766,363.60 is: 1,057,589.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,930.82 : 1,947,098.82 = 766,363.60 : x
  2. Step 2: Convert to fraction form
    1,410,930.82/1,947,098.82 = 766,363.60/x
  3. Step 3: Cross multiply
    1,410,930.82x = 1,947,098.82 × 766,363.60
  4. Step 4: Simplify right side
    1,410,930.82x = 1,492,185,661,250.95
  5. Step 5: Solve for x
    x = 1,492,185,661,250.95/1,410,930.82
  6. Step 6: Final answer
    x = 1,057,589.53

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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.