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Finding the Fourth Proportional to 302,546.64, 417,524.31 and 166,590.57

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Solution

The fourth proportional to 302,546.64, 417,524.31 and 166,590.57 is: 229,900.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,546.64 : 417,524.31 = 166,590.57 : x
  2. Step 2: Convert to fraction form
    302,546.64/417,524.31 = 166,590.57/x
  3. Step 3: Cross multiply
    302,546.64x = 417,524.31 × 166,590.57
  4. Step 4: Simplify right side
    302,546.64x = 69,555,612,791.76
  5. Step 5: Solve for x
    x = 69,555,612,791.76/302,546.64
  6. Step 6: Final answer
    x = 229,900.46

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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.