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Finding the Fourth Proportional to 647,578.20, 971,367.30 and 395,635.80

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Solution

The fourth proportional to 647,578.20, 971,367.30 and 395,635.80 is: 593,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,578.20 : 971,367.30 = 395,635.80 : x
  2. Step 2: Convert to fraction form
    647,578.20/971,367.30 = 395,635.80/x
  3. Step 3: Cross multiply
    647,578.20x = 971,367.30 × 395,635.80
  4. Step 4: Simplify right side
    647,578.20x = 384,307,678,829.34
  5. Step 5: Solve for x
    x = 384,307,678,829.34/647,578.20
  6. Step 6: Final answer
    x = 593,453.70

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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.