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Finding the Fourth Proportional to 647,517.80, 971,714.10 and 422,329.70

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Solution

The fourth proportional to 647,517.80, 971,714.10 and 422,329.70 is: 633,779.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,517.80 : 971,714.10 = 422,329.70 : x
  2. Step 2: Convert to fraction form
    647,517.80/971,714.10 = 422,329.70/x
  3. Step 3: Cross multiply
    647,517.80x = 971,714.10 × 422,329.70
  4. Step 4: Simplify right side
    647,517.80x = 410,383,724,338.77
  5. Step 5: Solve for x
    x = 410,383,724,338.77/647,517.80
  6. Step 6: Final answer
    x = 633,779.83

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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.