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Finding the Fourth Proportional to 309,504.53, 426,959.06 and 202,137.41

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Solution

The fourth proportional to 309,504.53, 426,959.06 and 202,137.41 is: 278,846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,504.53 : 426,959.06 = 202,137.41 : x
  2. Step 2: Convert to fraction form
    309,504.53/426,959.06 = 202,137.41/x
  3. Step 3: Cross multiply
    309,504.53x = 426,959.06 × 202,137.41
  4. Step 4: Simplify right side
    309,504.53x = 86,304,399,126.49
  5. Step 5: Solve for x
    x = 86,304,399,126.49/309,504.53
  6. Step 6: Final answer
    x = 278,846.96

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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.