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Finding the Fourth Proportional to 334,999.90, 462,372.77 and 206,049.20

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Solution

The fourth proportional to 334,999.90, 462,372.77 and 206,049.20 is: 284,392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,999.90 : 462,372.77 = 206,049.20 : x
  2. Step 2: Convert to fraction form
    334,999.90/462,372.77 = 206,049.20/x
  3. Step 3: Cross multiply
    334,999.90x = 462,372.77 × 206,049.20
  4. Step 4: Simplify right side
    334,999.90x = 95,271,541,031.34
  5. Step 5: Solve for x
    x = 95,271,541,031.34/334,999.90
  6. Step 6: Final answer
    x = 284,392.75

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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.