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Finding the Fourth Proportional to 678,305.31, 1,017,601.97 and 257,571.87

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Solution

The fourth proportional to 678,305.31, 1,017,601.97 and 257,571.87 is: 386,412.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,305.31 : 1,017,601.97 = 257,571.87 : x
  2. Step 2: Convert to fraction form
    678,305.31/1,017,601.97 = 257,571.87/x
  3. Step 3: Cross multiply
    678,305.31x = 1,017,601.97 × 257,571.87
  4. Step 4: Simplify right side
    678,305.31x = 262,105,641,040.73
  5. Step 5: Solve for x
    x = 262,105,641,040.73/678,305.31
  6. Step 6: Final answer
    x = 386,412.49

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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.