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Finding the Fourth Proportional to 574,157.78, 861,361.22 and 174,788.20

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Solution

The fourth proportional to 574,157.78, 861,361.22 and 174,788.20 is: 262,220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,157.78 : 861,361.22 = 174,788.20 : x
  2. Step 2: Convert to fraction form
    574,157.78/861,361.22 = 174,788.20/x
  3. Step 3: Cross multiply
    574,157.78x = 861,361.22 × 174,788.20
  4. Step 4: Simplify right side
    574,157.78x = 150,555,777,193.60
  5. Step 5: Solve for x
    x = 150,555,777,193.60/574,157.78
  6. Step 6: Final answer
    x = 262,220.22

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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.