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Finding the Fourth Proportional to 376,047, 518,944.86 and 206,281.54

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Solution

The fourth proportional to 376,047, 518,944.86 and 206,281.54 is: 284,668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,047 : 518,944.86 = 206,281.54 : x
  2. Step 2: Convert to fraction form
    376,047/518,944.86 = 206,281.54/x
  3. Step 3: Cross multiply
    376,047x = 518,944.86 × 206,281.54
  4. Step 4: Simplify right side
    376,047x = 107,048,744,895.88
  5. Step 5: Solve for x
    x = 107,048,744,895.88/376,047
  6. Step 6: Final answer
    x = 284,668.53

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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.