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Finding the Fourth Proportional to 295,964.73, 408,334.91 and 181,123.54

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Solution

The fourth proportional to 295,964.73, 408,334.91 and 181,123.54 is: 249,891.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,964.73 : 408,334.91 = 181,123.54 : x
  2. Step 2: Convert to fraction form
    295,964.73/408,334.91 = 181,123.54/x
  3. Step 3: Cross multiply
    295,964.73x = 408,334.91 × 181,123.54
  4. Step 4: Simplify right side
    295,964.73x = 73,959,062,478.33
  5. Step 5: Solve for x
    x = 73,959,062,478.33/295,964.73
  6. Step 6: Final answer
    x = 249,891.47

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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.