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Finding the Fourth Proportional to 361,527.03, 498,906 and 200,380.50

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Solution

The fourth proportional to 361,527.03, 498,906 and 200,380.50 is: 276,524.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,527.03 : 498,906 = 200,380.50 : x
  2. Step 2: Convert to fraction form
    361,527.03/498,906 = 200,380.50/x
  3. Step 3: Cross multiply
    361,527.03x = 498,906 × 200,380.50
  4. Step 4: Simplify right side
    361,527.03x = 99,971,033,733
  5. Step 5: Solve for x
    x = 99,971,033,733/361,527.03
  6. Step 6: Final answer
    x = 276,524.37

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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.