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Finding the Fourth Proportional to 366,438.12, 505,679.94 and 205,290.24

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Solution

The fourth proportional to 366,438.12, 505,679.94 and 205,290.24 is: 283,297.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,438.12 : 505,679.94 = 205,290.24 : x
  2. Step 2: Convert to fraction form
    366,438.12/505,679.94 = 205,290.24/x
  3. Step 3: Cross multiply
    366,438.12x = 505,679.94 × 205,290.24
  4. Step 4: Simplify right side
    366,438.12x = 103,811,156,245.79
  5. Step 5: Solve for x
    x = 103,811,156,245.79/366,438.12
  6. Step 6: Final answer
    x = 283,297.92

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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.