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Finding the Fourth Proportional to 1,297,277.91, 1,945,923.89 and 850,826.03

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Solution

The fourth proportional to 1,297,277.91, 1,945,923.89 and 850,826.03 is: 1,276,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,277.91 : 1,945,923.89 = 850,826.03 : x
  2. Step 2: Convert to fraction form
    1,297,277.91/1,945,923.89 = 850,826.03/x
  3. Step 3: Cross multiply
    1,297,277.91x = 1,945,923.89 × 850,826.03
  4. Step 4: Simplify right side
    1,297,277.91x = 1,655,642,684,027.11
  5. Step 5: Solve for x
    x = 1,655,642,684,027.11/1,297,277.91
  6. Step 6: Final answer
    x = 1,276,243.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.