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Finding the Fourth Proportional to 561,890.44, 842,441.73 and 206,858.26

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Solution

The fourth proportional to 561,890.44, 842,441.73 and 206,858.26 is: 310,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,890.44 : 842,441.73 = 206,858.26 : x
  2. Step 2: Convert to fraction form
    561,890.44/842,441.73 = 206,858.26/x
  3. Step 3: Cross multiply
    561,890.44x = 842,441.73 × 206,858.26
  4. Step 4: Simplify right side
    561,890.44x = 174,266,030,419.19
  5. Step 5: Solve for x
    x = 174,266,030,419.19/561,890.44
  6. Step 6: Final answer
    x = 310,142.37

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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.