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Finding the Fourth Proportional to 302,948.94, 418,067.45 and 166,982.99

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Solution

The fourth proportional to 302,948.94, 418,067.45 and 166,982.99 is: 230,435.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,948.94 : 418,067.45 = 166,982.99 : x
  2. Step 2: Convert to fraction form
    302,948.94/418,067.45 = 166,982.99/x
  3. Step 3: Cross multiply
    302,948.94x = 418,067.45 × 166,982.99
  4. Step 4: Simplify right side
    302,948.94x = 69,810,154,520.69
  5. Step 5: Solve for x
    x = 69,810,154,520.69/302,948.94
  6. Step 6: Final answer
    x = 230,435.38

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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.