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Finding the Fourth Proportional to 361,803.81, 499,305.93 and 200,649.26

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Solution

The fourth proportional to 361,803.81, 499,305.93 and 200,649.26 is: 276,905.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,803.81 : 499,305.93 = 200,649.26 : x
  2. Step 2: Convert to fraction form
    361,803.81/499,305.93 = 200,649.26/x
  3. Step 3: Cross multiply
    361,803.81x = 499,305.93 × 200,649.26
  4. Step 4: Simplify right side
    361,803.81x = 100,185,361,868.34
  5. Step 5: Solve for x
    x = 100,185,361,868.34/361,803.81
  6. Step 6: Final answer
    x = 276,905.22

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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.