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Finding the Fourth Proportional to 253,822.80, 380,273.40 and 206,821.20

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Solution

The fourth proportional to 253,822.80, 380,273.40 and 206,821.20 is: 309,856.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,822.80 : 380,273.40 = 206,821.20 : x
  2. Step 2: Convert to fraction form
    253,822.80/380,273.40 = 206,821.20/x
  3. Step 3: Cross multiply
    253,822.80x = 380,273.40 × 206,821.20
  4. Step 4: Simplify right side
    253,822.80x = 78,648,600,916.08
  5. Step 5: Solve for x
    x = 78,648,600,916.08/253,822.80
  6. Step 6: Final answer
    x = 309,856.33

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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.