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Finding the Fourth Proportional to 302,346.24, 417,227.36 and 166,367.47

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Solution

The fourth proportional to 302,346.24, 417,227.36 and 166,367.47 is: 229,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,346.24 : 417,227.36 = 166,367.47 : x
  2. Step 2: Convert to fraction form
    302,346.24/417,227.36 = 166,367.47/x
  3. Step 3: Cross multiply
    302,346.24x = 417,227.36 × 166,367.47
  4. Step 4: Simplify right side
    302,346.24x = 69,413,059,205.37
  5. Step 5: Solve for x
    x = 69,413,059,205.37/302,346.24
  6. Step 6: Final answer
    x = 229,581.35

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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.