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Finding the Fourth Proportional to 525,692.25, 789,099.80 and 226,321.29

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Solution

The fourth proportional to 525,692.25, 789,099.80 and 226,321.29 is: 339,723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,692.25 : 789,099.80 = 226,321.29 : x
  2. Step 2: Convert to fraction form
    525,692.25/789,099.80 = 226,321.29/x
  3. Step 3: Cross multiply
    525,692.25x = 789,099.80 × 226,321.29
  4. Step 4: Simplify right side
    525,692.25x = 178,590,083,543.14
  5. Step 5: Solve for x
    x = 178,590,083,543.14/525,692.25
  6. Step 6: Final answer
    x = 339,723.64

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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.