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Finding the Fourth Proportional to 759,215.62, 1,047,676.44 and 419,662

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Solution

The fourth proportional to 759,215.62, 1,047,676.44 and 419,662 is: 579,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,215.62 : 1,047,676.44 = 419,662 : x
  2. Step 2: Convert to fraction form
    759,215.62/1,047,676.44 = 419,662/x
  3. Step 3: Cross multiply
    759,215.62x = 1,047,676.44 × 419,662
  4. Step 4: Simplify right side
    759,215.62x = 439,669,990,163.28
  5. Step 5: Solve for x
    x = 439,669,990,163.28/759,215.62
  6. Step 6: Final answer
    x = 579,110.83

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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.