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Finding the Fourth Proportional to 361,102.79, 498,315.79 and 199,954.38

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Solution

The fourth proportional to 361,102.79, 498,315.79 and 199,954.38 is: 275,933.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,102.79 : 498,315.79 = 199,954.38 : x
  2. Step 2: Convert to fraction form
    361,102.79/498,315.79 = 199,954.38/x
  3. Step 3: Cross multiply
    361,102.79x = 498,315.79 × 199,954.38
  4. Step 4: Simplify right side
    361,102.79x = 99,640,425,827.54
  5. Step 5: Solve for x
    x = 99,640,425,827.54/361,102.79
  6. Step 6: Final answer
    x = 275,933.69

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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.