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Finding the Fourth Proportional to 1,410,824.54, 1,946,952.12 and 766,257.32

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Solution

The fourth proportional to 1,410,824.54, 1,946,952.12 and 766,257.32 is: 1,057,442.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,824.54 : 1,946,952.12 = 766,257.32 : x
  2. Step 2: Convert to fraction form
    1,410,824.54/1,946,952.12 = 766,257.32/x
  3. Step 3: Cross multiply
    1,410,824.54x = 1,946,952.12 × 766,257.32
  4. Step 4: Simplify right side
    1,410,824.54x = 1,491,866,313,639.52
  5. Step 5: Solve for x
    x = 1,491,866,313,639.52/1,410,824.54
  6. Step 6: Final answer
    x = 1,057,442.84

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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.