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Finding the Fourth Proportional to 351,461.76, 485,135.52 and 213,640.20

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Solution

The fourth proportional to 351,461.76, 485,135.52 and 213,640.20 is: 294,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,461.76 : 485,135.52 = 213,640.20 : x
  2. Step 2: Convert to fraction form
    351,461.76/485,135.52 = 213,640.20/x
  3. Step 3: Cross multiply
    351,461.76x = 485,135.52 × 213,640.20
  4. Step 4: Simplify right side
    351,461.76x = 103,644,449,519.90
  5. Step 5: Solve for x
    x = 103,644,449,519.90/351,461.76
  6. Step 6: Final answer
    x = 294,895.38

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Why These Related Problems?

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