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Finding the Fourth Proportional to 361,804.06, 499,306.27 and 200,649.51

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Solution

The fourth proportional to 361,804.06, 499,306.27 and 200,649.51 is: 276,905.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,804.06 : 499,306.27 = 200,649.51 : x
  2. Step 2: Convert to fraction form
    361,804.06/499,306.27 = 200,649.51/x
  3. Step 3: Cross multiply
    361,804.06x = 499,306.27 × 200,649.51
  4. Step 4: Simplify right side
    361,804.06x = 100,185,558,415.43
  5. Step 5: Solve for x
    x = 100,185,558,415.43/361,804.06
  6. Step 6: Final answer
    x = 276,905.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.