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Finding the Fourth Proportional to 307,586.80, 461,380.20 and 283,967.20

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Solution

The fourth proportional to 307,586.80, 461,380.20 and 283,967.20 is: 425,950.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,586.80 : 461,380.20 = 283,967.20 : x
  2. Step 2: Convert to fraction form
    307,586.80/461,380.20 = 283,967.20/x
  3. Step 3: Cross multiply
    307,586.80x = 461,380.20 × 283,967.20
  4. Step 4: Simplify right side
    307,586.80x = 131,016,843,529.44
  5. Step 5: Solve for x
    x = 131,016,843,529.44/307,586.80
  6. Step 6: Final answer
    x = 425,950.80

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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.