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Finding the Fourth Proportional to 395,514.70, 593,142.45 and 146,164.30

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Solution

The fourth proportional to 395,514.70, 593,142.45 and 146,164.30 is: 219,198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,514.70 : 593,142.45 = 146,164.30 : x
  2. Step 2: Convert to fraction form
    395,514.70/593,142.45 = 146,164.30/x
  3. Step 3: Cross multiply
    395,514.70x = 593,142.45 × 146,164.30
  4. Step 4: Simplify right side
    395,514.70x = 86,696,251,004.54
  5. Step 5: Solve for x
    x = 86,696,251,004.54/395,514.70
  6. Step 6: Final answer
    x = 219,198.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.