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Finding the Fourth Proportional to 320,100.15, 441,944.15 and 205,428.23

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Solution

The fourth proportional to 320,100.15, 441,944.15 and 205,428.23 is: 283,623.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,100.15 : 441,944.15 = 205,428.23 : x
  2. Step 2: Convert to fraction form
    320,100.15/441,944.15 = 205,428.23/x
  3. Step 3: Cross multiply
    320,100.15x = 441,944.15 × 205,428.23
  4. Step 4: Simplify right side
    320,100.15x = 90,787,802,913.78
  5. Step 5: Solve for x
    x = 90,787,802,913.78/320,100.15
  6. Step 6: Final answer
    x = 283,623.12

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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.