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Finding the Fourth Proportional to 389,689, 537,770.84 and 210,841

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Solution

The fourth proportional to 389,689, 537,770.84 and 210,841 is: 290,960.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,689 : 537,770.84 = 210,841 : x
  2. Step 2: Convert to fraction form
    389,689/537,770.84 = 210,841/x
  3. Step 3: Cross multiply
    389,689x = 537,770.84 × 210,841
  4. Step 4: Simplify right side
    389,689x = 113,384,141,676.44
  5. Step 5: Solve for x
    x = 113,384,141,676.44/389,689
  6. Step 6: Final answer
    x = 290,960.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.