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Finding the Fourth Proportional to 361,355.70, 498,650.04 and 200,201.14

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Solution

The fourth proportional to 361,355.70, 498,650.04 and 200,201.14 is: 276,266.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,355.70 : 498,650.04 = 200,201.14 : x
  2. Step 2: Convert to fraction form
    361,355.70/498,650.04 = 200,201.14/x
  3. Step 3: Cross multiply
    361,355.70x = 498,650.04 × 200,201.14
  4. Step 4: Simplify right side
    361,355.70x = 99,830,307,092.36
  5. Step 5: Solve for x
    x = 99,830,307,092.36/361,355.70
  6. Step 6: Final answer
    x = 276,266.03

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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.