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Finding the Fourth Proportional to 491,133.96, 677,704.24 and 309,777.39

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Solution

The fourth proportional to 491,133.96, 677,704.24 and 309,777.39 is: 427,454.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,133.96 : 677,704.24 = 309,777.39 : x
  2. Step 2: Convert to fraction form
    491,133.96/677,704.24 = 309,777.39/x
  3. Step 3: Cross multiply
    491,133.96x = 677,704.24 × 309,777.39
  4. Step 4: Simplify right side
    491,133.96x = 209,937,450,659.13
  5. Step 5: Solve for x
    x = 209,937,450,659.13/491,133.96
  6. Step 6: Final answer
    x = 427,454.56

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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.