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Finding the Fourth Proportional to 569,884.20, 854,903.10 and 196,021.80

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Solution

The fourth proportional to 569,884.20, 854,903.10 and 196,021.80 is: 294,059.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,884.20 : 854,903.10 = 196,021.80 : x
  2. Step 2: Convert to fraction form
    569,884.20/854,903.10 = 196,021.80/x
  3. Step 3: Cross multiply
    569,884.20x = 854,903.10 × 196,021.80
  4. Step 4: Simplify right side
    569,884.20x = 167,579,644,487.58
  5. Step 5: Solve for x
    x = 167,579,644,487.58/569,884.20
  6. Step 6: Final answer
    x = 294,059.12

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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.