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Finding the Fourth Proportional to 361,948.70, 499,512.83 and 208,993.33

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Solution

The fourth proportional to 361,948.70, 499,512.83 and 208,993.33 is: 288,424.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,948.70 : 499,512.83 = 208,993.33 : x
  2. Step 2: Convert to fraction form
    361,948.70/499,512.83 = 208,993.33/x
  3. Step 3: Cross multiply
    361,948.70x = 499,512.83 × 208,993.33
  4. Step 4: Simplify right side
    361,948.70x = 104,394,849,298.85
  5. Step 5: Solve for x
    x = 104,394,849,298.85/361,948.70
  6. Step 6: Final answer
    x = 288,424.43

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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.