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Finding the Fourth Proportional to 361,412.40, 498,743.24 and 200,266.94

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Solution

The fourth proportional to 361,412.40, 498,743.24 and 200,266.94 is: 276,365.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,412.40 : 498,743.24 = 200,266.94 : x
  2. Step 2: Convert to fraction form
    361,412.40/498,743.24 = 200,266.94/x
  3. Step 3: Cross multiply
    361,412.40x = 498,743.24 × 200,266.94
  4. Step 4: Simplify right side
    361,412.40x = 99,881,782,520.49
  5. Step 5: Solve for x
    x = 99,881,782,520.49/361,412.40
  6. Step 6: Final answer
    x = 276,365.12

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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.