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Finding the Fourth Proportional to 361,230.88, 498,476.64 and 200,076.34

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Solution

The fourth proportional to 361,230.88, 498,476.64 and 200,076.34 is: 276,093.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,230.88 : 498,476.64 = 200,076.34 : x
  2. Step 2: Convert to fraction form
    361,230.88/498,476.64 = 200,076.34/x
  3. Step 3: Cross multiply
    361,230.88x = 498,476.64 × 200,076.34
  4. Step 4: Simplify right side
    361,230.88x = 99,733,381,706.70
  5. Step 5: Solve for x
    x = 99,733,381,706.70/361,230.88
  6. Step 6: Final answer
    x = 276,093.18

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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.