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Finding the Fourth Proportional to 302,863.80, 417,946.41 and 166,910.34

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Solution

The fourth proportional to 302,863.80, 417,946.41 and 166,910.34 is: 230,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,863.80 : 417,946.41 = 166,910.34 : x
  2. Step 2: Convert to fraction form
    302,863.80/417,946.41 = 166,910.34/x
  3. Step 3: Cross multiply
    302,863.80x = 417,946.41 × 166,910.34
  4. Step 4: Simplify right side
    302,863.80x = 69,759,577,394.88
  5. Step 5: Solve for x
    x = 69,759,577,394.88/302,863.80
  6. Step 6: Final answer
    x = 230,333.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.