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Finding the Fourth Proportional to 339,969.80, 509,954.70 and 280,872.20

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Solution

The fourth proportional to 339,969.80, 509,954.70 and 280,872.20 is: 421,308.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,969.80 : 509,954.70 = 280,872.20 : x
  2. Step 2: Convert to fraction form
    339,969.80/509,954.70 = 280,872.20/x
  3. Step 3: Cross multiply
    339,969.80x = 509,954.70 × 280,872.20
  4. Step 4: Simplify right side
    339,969.80x = 143,232,098,489.34
  5. Step 5: Solve for x
    x = 143,232,098,489.34/339,969.80
  6. Step 6: Final answer
    x = 421,308.30

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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.