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Finding the Fourth Proportional to 339,470.40, 509,260.56 and 114,844.44

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Solution

The fourth proportional to 339,470.40, 509,260.56 and 114,844.44 is: 172,285.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,470.40 : 509,260.56 = 114,844.44 : x
  2. Step 2: Convert to fraction form
    339,470.40/509,260.56 = 114,844.44/x
  3. Step 3: Cross multiply
    339,470.40x = 509,260.56 × 114,844.44
  4. Step 4: Simplify right side
    339,470.40x = 58,485,743,827.29
  5. Step 5: Solve for x
    x = 58,485,743,827.29/339,470.40
  6. Step 6: Final answer
    x = 172,285.25

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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.