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Finding the Fourth Proportional to 647,000.20, 971,375.10 and 410,804.20

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Solution

The fourth proportional to 647,000.20, 971,375.10 and 410,804.20 is: 616,761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,000.20 : 971,375.10 = 410,804.20 : x
  2. Step 2: Convert to fraction form
    647,000.20/971,375.10 = 410,804.20/x
  3. Step 3: Cross multiply
    647,000.20x = 971,375.10 × 410,804.20
  4. Step 4: Simplify right side
    647,000.20x = 399,044,970,855.42
  5. Step 5: Solve for x
    x = 399,044,970,855.42/647,000.20
  6. Step 6: Final answer
    x = 616,761.74

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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.