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Finding the Fourth Proportional to 376,045, 518,942.10 and 206,279.53

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Solution

The fourth proportional to 376,045, 518,942.10 and 206,279.53 is: 284,665.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,045 : 518,942.10 = 206,279.53 : x
  2. Step 2: Convert to fraction form
    376,045/518,942.10 = 206,279.53/x
  3. Step 3: Cross multiply
    376,045x = 518,942.10 × 206,279.53
  4. Step 4: Simplify right side
    376,045x = 107,047,132,485.21
  5. Step 5: Solve for x
    x = 107,047,132,485.21/376,045
  6. Step 6: Final answer
    x = 284,665.75

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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.