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Finding the Fourth Proportional to 667,173.07, 920,630.10 and 380,638

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Solution

The fourth proportional to 667,173.07, 920,630.10 and 380,638 is: 525,241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,173.07 : 920,630.10 = 380,638 : x
  2. Step 2: Convert to fraction form
    667,173.07/920,630.10 = 380,638/x
  3. Step 3: Cross multiply
    667,173.07x = 920,630.10 × 380,638
  4. Step 4: Simplify right side
    667,173.07x = 350,426,800,003.80
  5. Step 5: Solve for x
    x = 350,426,800,003.80/667,173.07
  6. Step 6: Final answer
    x = 525,241.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.