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Finding the Fourth Proportional to 382,031.98, 573,067 and 145,393

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Solution

The fourth proportional to 382,031.98, 573,067 and 145,393 is: 218,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,031.98 : 573,067 = 145,393 : x
  2. Step 2: Convert to fraction form
    382,031.98/573,067 = 145,393/x
  3. Step 3: Cross multiply
    382,031.98x = 573,067 × 145,393
  4. Step 4: Simplify right side
    382,031.98x = 83,319,930,331
  5. Step 5: Solve for x
    x = 83,319,930,331/382,031.98
  6. Step 6: Final answer
    x = 218,096.74

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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.