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Finding the Fourth Proportional to 361,790.06, 499,237.29 and 200,644.61

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Solution

The fourth proportional to 361,790.06, 499,237.29 and 200,644.61 is: 276,871.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,790.06 : 499,237.29 = 200,644.61 : x
  2. Step 2: Convert to fraction form
    361,790.06/499,237.29 = 200,644.61/x
  3. Step 3: Cross multiply
    361,790.06x = 499,237.29 × 200,644.61
  4. Step 4: Simplify right side
    361,790.06x = 100,169,268,853.32
  5. Step 5: Solve for x
    x = 100,169,268,853.32/361,790.06
  6. Step 6: Final answer
    x = 276,871.26

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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.