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Finding the Fourth Proportional to 1,099,865.80, 1,649,798.70 and 966,896.20

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Solution

The fourth proportional to 1,099,865.80, 1,649,798.70 and 966,896.20 is: 1,450,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,865.80 : 1,649,798.70 = 966,896.20 : x
  2. Step 2: Convert to fraction form
    1,099,865.80/1,649,798.70 = 966,896.20/x
  3. Step 3: Cross multiply
    1,099,865.80x = 1,649,798.70 × 966,896.20
  4. Step 4: Simplify right side
    1,099,865.80x = 1,595,184,093,794.94
  5. Step 5: Solve for x
    x = 1,595,184,093,794.94/1,099,865.80
  6. Step 6: Final answer
    x = 1,450,344.30

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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.