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Finding the Fourth Proportional to 389,695, 537,779.10 and 210,847

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Solution

The fourth proportional to 389,695, 537,779.10 and 210,847 is: 290,968.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,695 : 537,779.10 = 210,847 : x
  2. Step 2: Convert to fraction form
    389,695/537,779.10 = 210,847/x
  3. Step 3: Cross multiply
    389,695x = 537,779.10 × 210,847
  4. Step 4: Simplify right side
    389,695x = 113,389,109,897.70
  5. Step 5: Solve for x
    x = 113,389,109,897.70/389,695
  6. Step 6: Final answer
    x = 290,968.86

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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.