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Finding the Fourth Proportional to 655,588.30, 983,380.98 and 206,348.44

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Solution

The fourth proportional to 655,588.30, 983,380.98 and 206,348.44 is: 309,522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,588.30 : 983,380.98 = 206,348.44 : x
  2. Step 2: Convert to fraction form
    655,588.30/983,380.98 = 206,348.44/x
  3. Step 3: Cross multiply
    655,588.30x = 983,380.98 × 206,348.44
  4. Step 4: Simplify right side
    655,588.30x = 202,919,131,148.67
  5. Step 5: Solve for x
    x = 202,919,131,148.67/655,588.30
  6. Step 6: Final answer
    x = 309,522.20

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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.