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Finding the Fourth Proportional to 490,851.84, 677,372.16 and 278,883.84

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Solution

The fourth proportional to 490,851.84, 677,372.16 and 278,883.84 is: 384,857.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,851.84 : 677,372.16 = 278,883.84 : x
  2. Step 2: Convert to fraction form
    490,851.84/677,372.16 = 278,883.84/x
  3. Step 3: Cross multiply
    490,851.84x = 677,372.16 × 278,883.84
  4. Step 4: Simplify right side
    490,851.84x = 188,908,149,089.89
  5. Step 5: Solve for x
    x = 188,908,149,089.89/490,851.84
  6. Step 6: Final answer
    x = 384,857.78

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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.