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Finding the Fourth Proportional to 382,738, 574,245.24 and 120,082

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Solution

The fourth proportional to 382,738, 574,245.24 and 120,082 is: 180,166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,738 : 574,245.24 = 120,082 : x
  2. Step 2: Convert to fraction form
    382,738/574,245.24 = 120,082/x
  3. Step 3: Cross multiply
    382,738x = 574,245.24 × 120,082
  4. Step 4: Simplify right side
    382,738x = 68,956,516,909.68
  5. Step 5: Solve for x
    x = 68,956,516,909.68/382,738
  6. Step 6: Final answer
    x = 180,166.37

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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.