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Finding the Fourth Proportional to 295,601.88, 407,932.22 and 161,465.88

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Solution

The fourth proportional to 295,601.88, 407,932.22 and 161,465.88 is: 222,823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,601.88 : 407,932.22 = 161,465.88 : x
  2. Step 2: Convert to fraction form
    295,601.88/407,932.22 = 161,465.88/x
  3. Step 3: Cross multiply
    295,601.88x = 407,932.22 × 161,465.88
  4. Step 4: Simplify right side
    295,601.88x = 65,867,134,882.65
  5. Step 5: Solve for x
    x = 65,867,134,882.65/295,601.88
  6. Step 6: Final answer
    x = 222,823.80

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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.