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Finding the Fourth Proportional to 302,328.97, 417,213.15 and 166,371.72

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Solution

The fourth proportional to 302,328.97, 417,213.15 and 166,371.72 is: 229,592.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,328.97 : 417,213.15 = 166,371.72 : x
  2. Step 2: Convert to fraction form
    302,328.97/417,213.15 = 166,371.72/x
  3. Step 3: Cross multiply
    302,328.97x = 417,213.15 × 166,371.72
  4. Step 4: Simplify right side
    302,328.97x = 69,412,469,530.50
  5. Step 5: Solve for x
    x = 69,412,469,530.50/302,328.97
  6. Step 6: Final answer
    x = 229,592.52

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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.