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Finding the Fourth Proportional to 523,997.56, 785,435.73 and 271,023.33

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Solution

The fourth proportional to 523,997.56, 785,435.73 and 271,023.33 is: 406,245.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,997.56 : 785,435.73 = 271,023.33 : x
  2. Step 2: Convert to fraction form
    523,997.56/785,435.73 = 271,023.33/x
  3. Step 3: Cross multiply
    523,997.56x = 785,435.73 × 271,023.33
  4. Step 4: Simplify right side
    523,997.56x = 212,871,407,045.58
  5. Step 5: Solve for x
    x = 212,871,407,045.58/523,997.56
  6. Step 6: Final answer
    x = 406,245.03

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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.