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Finding the Fourth Proportional to 295,461, 407,737.26 and 161,325

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Solution

The fourth proportional to 295,461, 407,737.26 and 161,325 is: 222,629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,461 : 407,737.26 = 161,325 : x
  2. Step 2: Convert to fraction form
    295,461/407,737.26 = 161,325/x
  3. Step 3: Cross multiply
    295,461x = 407,737.26 × 161,325
  4. Step 4: Simplify right side
    295,461x = 65,778,213,469.50
  5. Step 5: Solve for x
    x = 65,778,213,469.50/295,461
  6. Step 6: Final answer
    x = 222,629.09

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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.