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Finding the Fourth Proportional to 305,778.36, 458,777.62 and 137,285.56

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Solution

The fourth proportional to 305,778.36, 458,777.62 and 137,285.56 is: 205,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,778.36 : 458,777.62 = 137,285.56 : x
  2. Step 2: Convert to fraction form
    305,778.36/458,777.62 = 137,285.56/x
  3. Step 3: Cross multiply
    305,778.36x = 458,777.62 × 137,285.56
  4. Step 4: Simplify right side
    305,778.36x = 62,983,542,477.17
  5. Step 5: Solve for x
    x = 62,983,542,477.17/305,778.36
  6. Step 6: Final answer
    x = 205,977.76

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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.