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Finding the Fourth Proportional to 361,170.88, 498,417.48 and 200,022.54

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Solution

The fourth proportional to 361,170.88, 498,417.48 and 200,022.54 is: 276,032.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,170.88 : 498,417.48 = 200,022.54 : x
  2. Step 2: Convert to fraction form
    361,170.88/498,417.48 = 200,022.54/x
  3. Step 3: Cross multiply
    361,170.88x = 498,417.48 × 200,022.54
  4. Step 4: Simplify right side
    361,170.88x = 99,694,730,330.00
  5. Step 5: Solve for x
    x = 99,694,730,330.00/361,170.88
  6. Step 6: Final answer
    x = 276,032.03

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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.