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Finding the Fourth Proportional to 629,645.86, 869,243.53 and 505,796.14

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Solution

The fourth proportional to 629,645.86, 869,243.53 and 505,796.14 is: 698,265.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,645.86 : 869,243.53 = 505,796.14 : x
  2. Step 2: Convert to fraction form
    629,645.86/869,243.53 = 505,796.14/x
  3. Step 3: Cross multiply
    629,645.86x = 869,243.53 × 505,796.14
  4. Step 4: Simplify right side
    629,645.86x = 439,660,022,193.97
  5. Step 5: Solve for x
    x = 439,660,022,193.97/629,645.86
  6. Step 6: Final answer
    x = 698,265.57

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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.