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Finding the Fourth Proportional to 310,299.36, 428,078.16 and 195,508.32

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Solution

The fourth proportional to 310,299.36, 428,078.16 and 195,508.32 is: 269,716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,299.36 : 428,078.16 = 195,508.32 : x
  2. Step 2: Convert to fraction form
    310,299.36/428,078.16 = 195,508.32/x
  3. Step 3: Cross multiply
    310,299.36x = 428,078.16 × 195,508.32
  4. Step 4: Simplify right side
    310,299.36x = 83,692,841,890.29
  5. Step 5: Solve for x
    x = 83,692,841,890.29/310,299.36
  6. Step 6: Final answer
    x = 269,716.45

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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.