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Finding the Fourth Proportional to 392,015.09, 587,952.50 and 103,828.70

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Solution

The fourth proportional to 392,015.09, 587,952.50 and 103,828.70 is: 155,724.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,015.09 : 587,952.50 = 103,828.70 : x
  2. Step 2: Convert to fraction form
    392,015.09/587,952.50 = 103,828.70/x
  3. Step 3: Cross multiply
    392,015.09x = 587,952.50 × 103,828.70
  4. Step 4: Simplify right side
    392,015.09x = 61,046,344,687.49
  5. Step 5: Solve for x
    x = 61,046,344,687.49/392,015.09
  6. Step 6: Final answer
    x = 155,724.48

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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.