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Finding the Fourth Proportional to 408,789.09, 613,183.80 and 183,886.77

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Solution

The fourth proportional to 408,789.09, 613,183.80 and 183,886.77 is: 275,830.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,789.09 : 613,183.80 = 183,886.77 : x
  2. Step 2: Convert to fraction form
    408,789.09/613,183.80 = 183,886.77/x
  3. Step 3: Cross multiply
    408,789.09x = 613,183.80 × 183,886.77
  4. Step 4: Simplify right side
    408,789.09x = 112,756,388,398.33
  5. Step 5: Solve for x
    x = 112,756,388,398.33/408,789.09
  6. Step 6: Final answer
    x = 275,830.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.