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Finding the Fourth Proportional to 339,984.30, 509,976.45 and 251,410.80

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Solution

The fourth proportional to 339,984.30, 509,976.45 and 251,410.80 is: 377,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,984.30 : 509,976.45 = 251,410.80 : x
  2. Step 2: Convert to fraction form
    339,984.30/509,976.45 = 251,410.80/x
  3. Step 3: Cross multiply
    339,984.30x = 509,976.45 × 251,410.80
  4. Step 4: Simplify right side
    339,984.30x = 128,213,587,275.66
  5. Step 5: Solve for x
    x = 128,213,587,275.66/339,984.30
  6. Step 6: Final answer
    x = 377,116.20

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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.