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Finding the Fourth Proportional to 382,739, 574,246.74 and 120,083

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Solution

The fourth proportional to 382,739, 574,246.74 and 120,083 is: 180,167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,739 : 574,246.74 = 120,083 : x
  2. Step 2: Convert to fraction form
    382,739/574,246.74 = 120,083/x
  3. Step 3: Cross multiply
    382,739x = 574,246.74 × 120,083
  4. Step 4: Simplify right side
    382,739x = 68,957,271,279.42
  5. Step 5: Solve for x
    x = 68,957,271,279.42/382,739
  6. Step 6: Final answer
    x = 180,167.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.