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Finding the Fourth Proportional to 505,604.18, 758,220.24 and 205,922

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Solution

The fourth proportional to 505,604.18, 758,220.24 and 205,922 is: 308,807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,604.18 : 758,220.24 = 205,922 : x
  2. Step 2: Convert to fraction form
    505,604.18/758,220.24 = 205,922/x
  3. Step 3: Cross multiply
    505,604.18x = 758,220.24 × 205,922
  4. Step 4: Simplify right side
    505,604.18x = 156,134,228,261.28
  5. Step 5: Solve for x
    x = 156,134,228,261.28/505,604.18
  6. Step 6: Final answer
    x = 308,807.23

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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.