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Finding the Fourth Proportional to 302,659.76, 417,665.32 and 166,706.44

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Solution

The fourth proportional to 302,659.76, 417,665.32 and 166,706.44 is: 230,052.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,659.76 : 417,665.32 = 166,706.44 : x
  2. Step 2: Convert to fraction form
    302,659.76/417,665.32 = 166,706.44/x
  3. Step 3: Cross multiply
    302,659.76x = 417,665.32 × 166,706.44
  4. Step 4: Simplify right side
    302,659.76x = 69,627,497,147.73
  5. Step 5: Solve for x
    x = 69,627,497,147.73/302,659.76
  6. Step 6: Final answer
    x = 230,052.04

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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.