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Finding the Fourth Proportional to 302,481.72, 417,421.38 and 166,512.76

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Solution

The fourth proportional to 302,481.72, 417,421.38 and 166,512.76 is: 229,785.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,481.72 : 417,421.38 = 166,512.76 : x
  2. Step 2: Convert to fraction form
    302,481.72/417,421.38 = 166,512.76/x
  3. Step 3: Cross multiply
    302,481.72x = 417,421.38 × 166,512.76
  4. Step 4: Simplify right side
    302,481.72x = 69,505,986,066.81
  5. Step 5: Solve for x
    x = 69,505,986,066.81/302,481.72
  6. Step 6: Final answer
    x = 229,785.74

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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.