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Finding the Fourth Proportional to 302,516.43, 417,456.81 and 166,523.82

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Solution

The fourth proportional to 302,516.43, 417,456.81 and 166,523.82 is: 229,794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,516.43 : 417,456.81 = 166,523.82 : x
  2. Step 2: Convert to fraction form
    302,516.43/417,456.81 = 166,523.82/x
  3. Step 3: Cross multiply
    302,516.43x = 417,456.81 × 166,523.82
  4. Step 4: Simplify right side
    302,516.43x = 69,516,502,686.21
  5. Step 5: Solve for x
    x = 69,516,502,686.21/302,516.43
  6. Step 6: Final answer
    x = 229,794.14

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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.