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Finding the Fourth Proportional to 310,205.09, 427,974 and 202,837.97

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Solution

The fourth proportional to 310,205.09, 427,974 and 202,837.97 is: 279,845.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,205.09 : 427,974 = 202,837.97 : x
  2. Step 2: Convert to fraction form
    310,205.09/427,974 = 202,837.97/x
  3. Step 3: Cross multiply
    310,205.09x = 427,974 × 202,837.97
  4. Step 4: Simplify right side
    310,205.09x = 86,809,375,232.91
  5. Step 5: Solve for x
    x = 86,809,375,232.91/310,205.09
  6. Step 6: Final answer
    x = 279,845.11

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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.