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Finding the Fourth Proportional to 376,563.24, 519,638.40 and 213,194.32

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Solution

The fourth proportional to 376,563.24, 519,638.40 and 213,194.32 is: 294,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,563.24 : 519,638.40 = 213,194.32 : x
  2. Step 2: Convert to fraction form
    376,563.24/519,638.40 = 213,194.32/x
  3. Step 3: Cross multiply
    376,563.24x = 519,638.40 × 213,194.32
  4. Step 4: Simplify right side
    376,563.24x = 110,783,955,333.89
  5. Step 5: Solve for x
    x = 110,783,955,333.89/376,563.24
  6. Step 6: Final answer
    x = 294,197.48

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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.