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Finding the Fourth Proportional to 339,943.60, 509,915.40 and 227,969.20

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Solution

The fourth proportional to 339,943.60, 509,915.40 and 227,969.20 is: 341,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,943.60 : 509,915.40 = 227,969.20 : x
  2. Step 2: Convert to fraction form
    339,943.60/509,915.40 = 227,969.20/x
  3. Step 3: Cross multiply
    339,943.60x = 509,915.40 × 227,969.20
  4. Step 4: Simplify right side
    339,943.60x = 116,245,005,805.68
  5. Step 5: Solve for x
    x = 116,245,005,805.68/339,943.60
  6. Step 6: Final answer
    x = 341,953.80

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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.