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Finding the Fourth Proportional to 339,462.06, 509,194.53 and 114,823.68

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Solution

The fourth proportional to 339,462.06, 509,194.53 and 114,823.68 is: 172,236.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,462.06 : 509,194.53 = 114,823.68 : x
  2. Step 2: Convert to fraction form
    339,462.06/509,194.53 = 114,823.68/x
  3. Step 3: Cross multiply
    339,462.06x = 509,194.53 × 114,823.68
  4. Step 4: Simplify right side
    339,462.06x = 58,467,589,770.47
  5. Step 5: Solve for x
    x = 58,467,589,770.47/339,462.06
  6. Step 6: Final answer
    x = 172,236.01

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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.