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Finding the Fourth Proportional to 295,704, 408,081.60 and 161,576.64

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Solution

The fourth proportional to 295,704, 408,081.60 and 161,576.64 is: 222,981.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,704 : 408,081.60 = 161,576.64 : x
  2. Step 2: Convert to fraction form
    295,704/408,081.60 = 161,576.64/x
  3. Step 3: Cross multiply
    295,704x = 408,081.60 × 161,576.64
  4. Step 4: Simplify right side
    295,704x = 65,936,453,773.82
  5. Step 5: Solve for x
    x = 65,936,453,773.82/295,704
  6. Step 6: Final answer
    x = 222,981.27

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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.