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Finding the Fourth Proportional to 580,074.41, 869,903.17 and 200,893.04

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Solution

The fourth proportional to 580,074.41, 869,903.17 and 200,893.04 is: 301,267.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,074.41 : 869,903.17 = 200,893.04 : x
  2. Step 2: Convert to fraction form
    580,074.41/869,903.17 = 200,893.04/x
  3. Step 3: Cross multiply
    580,074.41x = 869,903.17 × 200,893.04
  4. Step 4: Simplify right side
    580,074.41x = 174,757,488,855.73
  5. Step 5: Solve for x
    x = 174,757,488,855.73/580,074.41
  6. Step 6: Final answer
    x = 301,267.36

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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.