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Finding the Fourth Proportional to 361,038.80, 498,238.80 and 207,992.54

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Solution

The fourth proportional to 361,038.80, 498,238.80 and 207,992.54 is: 287,032.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,038.80 : 498,238.80 = 207,992.54 : x
  2. Step 2: Convert to fraction form
    361,038.80/498,238.80 = 207,992.54/x
  3. Step 3: Cross multiply
    361,038.80x = 498,238.80 × 207,992.54
  4. Step 4: Simplify right side
    361,038.80x = 103,629,954,004.18
  5. Step 5: Solve for x
    x = 103,629,954,004.18/361,038.80
  6. Step 6: Final answer
    x = 287,032.73

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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.