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Finding the Fourth Proportional to 302,329.97, 417,214.53 and 166,372.72

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Solution

The fourth proportional to 302,329.97, 417,214.53 and 166,372.72 is: 229,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,329.97 : 417,214.53 = 166,372.72 : x
  2. Step 2: Convert to fraction form
    302,329.97/417,214.53 = 166,372.72/x
  3. Step 3: Cross multiply
    302,329.97x = 417,214.53 × 166,372.72
  4. Step 4: Simplify right side
    302,329.97x = 69,413,116,179.62
  5. Step 5: Solve for x
    x = 69,413,116,179.62/302,329.97
  6. Step 6: Final answer
    x = 229,593.90

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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.