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Finding the Fourth Proportional to 361,983.47, 499,515.46 and 200,828.90

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Solution

The fourth proportional to 361,983.47, 499,515.46 and 200,828.90 is: 277,131.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,983.47 : 499,515.46 = 200,828.90 : x
  2. Step 2: Convert to fraction form
    361,983.47/499,515.46 = 200,828.90/x
  3. Step 3: Cross multiply
    361,983.47x = 499,515.46 × 200,828.90
  4. Step 4: Simplify right side
    361,983.47x = 100,317,141,111.51
  5. Step 5: Solve for x
    x = 100,317,141,111.51/361,983.47
  6. Step 6: Final answer
    x = 277,131.83

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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.