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Finding the Fourth Proportional to 302,662.76, 417,669.46 and 166,709.44

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Solution

The fourth proportional to 302,662.76, 417,669.46 and 166,709.44 is: 230,056.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,662.76 : 417,669.46 = 166,709.44 : x
  2. Step 2: Convert to fraction form
    302,662.76/417,669.46 = 166,709.44/x
  3. Step 3: Cross multiply
    302,662.76x = 417,669.46 × 166,709.44
  4. Step 4: Simplify right side
    302,662.76x = 69,629,441,781.70
  5. Step 5: Solve for x
    x = 69,629,441,781.70/302,662.76
  6. Step 6: Final answer
    x = 230,056.19

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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.