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Finding the Fourth Proportional to 302,514.50, 417,454.16 and 166,521.88

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Solution

The fourth proportional to 302,514.50, 417,454.16 and 166,521.88 is: 229,791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,514.50 : 417,454.16 = 166,521.88 : x
  2. Step 2: Convert to fraction form
    302,514.50/417,454.16 = 166,521.88/x
  3. Step 3: Cross multiply
    302,514.50x = 417,454.16 × 166,521.88
  4. Step 4: Simplify right side
    302,514.50x = 69,515,251,226.23
  5. Step 5: Solve for x
    x = 69,515,251,226.23/302,514.50
  6. Step 6: Final answer
    x = 229,791.47

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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.