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Finding the Fourth Proportional to 302,274.47, 417,138.72 and 166,305.44

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Solution

The fourth proportional to 302,274.47, 417,138.72 and 166,305.44 is: 229,501.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,274.47 : 417,138.72 = 166,305.44 : x
  2. Step 2: Convert to fraction form
    302,274.47/417,138.72 = 166,305.44/x
  3. Step 3: Cross multiply
    302,274.47x = 417,138.72 × 166,305.44
  4. Step 4: Simplify right side
    302,274.47x = 69,372,438,370.64
  5. Step 5: Solve for x
    x = 69,372,438,370.64/302,274.47
  6. Step 6: Final answer
    x = 229,501.48

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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.