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Finding the Fourth Proportional to 302,663.26, 417,694.25 and 166,697.17

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Solution

The fourth proportional to 302,663.26, 417,694.25 and 166,697.17 is: 230,052.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,663.26 : 417,694.25 = 166,697.17 : x
  2. Step 2: Convert to fraction form
    302,663.26/417,694.25 = 166,697.17/x
  3. Step 3: Cross multiply
    302,663.26x = 417,694.25 × 166,697.17
  4. Step 4: Simplify right side
    302,663.26x = 69,628,449,400.27
  5. Step 5: Solve for x
    x = 69,628,449,400.27/302,663.26
  6. Step 6: Final answer
    x = 230,052.53

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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.