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Finding the Fourth Proportional to 1,410,723.22, 1,946,797.59 and 766,143.58

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Solution

The fourth proportional to 1,410,723.22, 1,946,797.59 and 766,143.58 is: 1,057,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,723.22 : 1,946,797.59 = 766,143.58 : x
  2. Step 2: Convert to fraction form
    1,410,723.22/1,946,797.59 = 766,143.58/x
  3. Step 3: Cross multiply
    1,410,723.22x = 1,946,797.59 × 766,143.58
  4. Step 4: Simplify right side
    1,410,723.22x = 1,491,526,475,137.97
  5. Step 5: Solve for x
    x = 1,491,526,475,137.97/1,410,723.22
  6. Step 6: Final answer
    x = 1,057,277.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.