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Finding the Fourth Proportional to 302,662.40, 417,668.96 and 166,709.06

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Solution

The fourth proportional to 302,662.40, 417,668.96 and 166,709.06 is: 230,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,662.40 : 417,668.96 = 166,709.06 : x
  2. Step 2: Convert to fraction form
    302,662.40/417,668.96 = 166,709.06/x
  3. Step 3: Cross multiply
    302,662.40x = 417,668.96 × 166,709.06
  4. Step 4: Simplify right side
    302,662.40x = 69,629,196,790.89
  5. Step 5: Solve for x
    x = 69,629,196,790.89/302,662.40
  6. Step 6: Final answer
    x = 230,055.66

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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.