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Finding the Fourth Proportional to 295,380.72, 407,623.24 and 161,244.72

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Solution

The fourth proportional to 295,380.72, 407,623.24 and 161,244.72 is: 222,516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,380.72 : 407,623.24 = 161,244.72 : x
  2. Step 2: Convert to fraction form
    295,380.72/407,623.24 = 161,244.72/x
  3. Step 3: Cross multiply
    295,380.72x = 407,623.24 × 161,244.72
  4. Step 4: Simplify right side
    295,380.72x = 65,727,095,199.29
  5. Step 5: Solve for x
    x = 65,727,095,199.29/295,380.72
  6. Step 6: Final answer
    x = 222,516.54

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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.