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Finding the Fourth Proportional to 295,659.28, 408,009.86 and 161,523.28

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Solution

The fourth proportional to 295,659.28, 408,009.86 and 161,523.28 is: 222,902.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,659.28 : 408,009.86 = 161,523.28 : x
  2. Step 2: Convert to fraction form
    295,659.28/408,009.86 = 161,523.28/x
  3. Step 3: Cross multiply
    295,659.28x = 408,009.86 × 161,523.28
  4. Step 4: Simplify right side
    295,659.28x = 65,903,091,167.65
  5. Step 5: Solve for x
    x = 65,903,091,167.65/295,659.28
  6. Step 6: Final answer
    x = 222,902.16

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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.