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Finding the Fourth Proportional to 392,052.84, 587,813.13 and 199,453.92

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Solution

The fourth proportional to 392,052.84, 587,813.13 and 199,453.92 is: 299,045.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,052.84 : 587,813.13 = 199,453.92 : x
  2. Step 2: Convert to fraction form
    392,052.84/587,813.13 = 199,453.92/x
  3. Step 3: Cross multiply
    392,052.84x = 587,813.13 × 199,453.92
  4. Step 4: Simplify right side
    392,052.84x = 117,241,633,005.97
  5. Step 5: Solve for x
    x = 117,241,633,005.97/392,052.84
  6. Step 6: Final answer
    x = 299,045.49

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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.