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Finding the Fourth Proportional to 339,895.40, 509,891.70 and 115,266.20

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Solution

The fourth proportional to 339,895.40, 509,891.70 and 115,266.20 is: 172,915.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,895.40 : 509,891.70 = 115,266.20 : x
  2. Step 2: Convert to fraction form
    339,895.40/509,891.70 = 115,266.20/x
  3. Step 3: Cross multiply
    339,895.40x = 509,891.70 × 115,266.20
  4. Step 4: Simplify right side
    339,895.40x = 58,773,278,670.54
  5. Step 5: Solve for x
    x = 58,773,278,670.54/339,895.40
  6. Step 6: Final answer
    x = 172,915.78

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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.