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Finding the Fourth Proportional to 1,410,855.57, 1,946,994.98 and 766,288.35

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Solution

The fourth proportional to 1,410,855.57, 1,946,994.98 and 766,288.35 is: 1,057,485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,855.57 : 1,946,994.98 = 766,288.35 : x
  2. Step 2: Convert to fraction form
    1,410,855.57/1,946,994.98 = 766,288.35/x
  3. Step 3: Cross multiply
    1,410,855.57x = 1,946,994.98 × 766,288.35
  4. Step 4: Simplify right side
    1,410,855.57x = 1,491,959,566,851.04
  5. Step 5: Solve for x
    x = 1,491,959,566,851.04/1,410,855.57
  6. Step 6: Final answer
    x = 1,057,485.68

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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.