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Finding the Fourth Proportional to 443,031.14, 664,514.57 and 173,108.54

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Solution

The fourth proportional to 443,031.14, 664,514.57 and 173,108.54 is: 259,650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,031.14 : 664,514.57 = 173,108.54 : x
  2. Step 2: Convert to fraction form
    443,031.14/664,514.57 = 173,108.54/x
  3. Step 3: Cross multiply
    443,031.14x = 664,514.57 × 173,108.54
  4. Step 4: Simplify right side
    443,031.14x = 115,033,142,833.31
  5. Step 5: Solve for x
    x = 115,033,142,833.31/443,031.14
  6. Step 6: Final answer
    x = 259,650.25

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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.