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Finding the Fourth Proportional to 339,744.30, 509,419.62 and 115,029.78

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Solution

The fourth proportional to 339,744.30, 509,419.62 and 115,029.78 is: 172,478.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,744.30 : 509,419.62 = 115,029.78 : x
  2. Step 2: Convert to fraction form
    339,744.30/509,419.62 = 115,029.78/x
  3. Step 3: Cross multiply
    339,744.30x = 509,419.62 × 115,029.78
  4. Step 4: Simplify right side
    339,744.30x = 58,598,426,816.28
  5. Step 5: Solve for x
    x = 58,598,426,816.28/339,744.30
  6. Step 6: Final answer
    x = 172,478.03

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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.