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Finding the Fourth Proportional to 361,104.81, 498,318.50 and 199,956.40

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Solution

The fourth proportional to 361,104.81, 498,318.50 and 199,956.40 is: 275,936.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,104.81 : 498,318.50 = 199,956.40 : x
  2. Step 2: Convert to fraction form
    361,104.81/498,318.50 = 199,956.40/x
  3. Step 3: Cross multiply
    361,104.81x = 498,318.50 × 199,956.40
  4. Step 4: Simplify right side
    361,104.81x = 99,641,973,313.40
  5. Step 5: Solve for x
    x = 99,641,973,313.40/361,104.81
  6. Step 6: Final answer
    x = 275,936.43

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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.