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Finding the Fourth Proportional to 302,350.75, 417,233.57 and 166,371.98

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Solution

The fourth proportional to 302,350.75, 417,233.57 and 166,371.98 is: 229,587.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,350.75 : 417,233.57 = 166,371.98 : x
  2. Step 2: Convert to fraction form
    302,350.75/417,233.57 = 166,371.98/x
  3. Step 3: Cross multiply
    302,350.75x = 417,233.57 × 166,371.98
  4. Step 4: Simplify right side
    302,350.75x = 69,415,976,622.38
  5. Step 5: Solve for x
    x = 69,415,976,622.38/302,350.75
  6. Step 6: Final answer
    x = 229,587.58

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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.