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Finding the Fourth Proportional to 302,367.42, 417,267.11 and 166,401.33

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Solution

The fourth proportional to 302,367.42, 417,267.11 and 166,401.33 is: 229,633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,367.42 : 417,267.11 = 166,401.33 : x
  2. Step 2: Convert to fraction form
    302,367.42/417,267.11 = 166,401.33/x
  3. Step 3: Cross multiply
    302,367.42x = 417,267.11 × 166,401.33
  4. Step 4: Simplify right side
    302,367.42x = 69,433,802,069.26
  5. Step 5: Solve for x
    x = 69,433,802,069.26/302,367.42
  6. Step 6: Final answer
    x = 229,633.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.