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Finding the Fourth Proportional to 339,838.40, 509,741.40 and 115,176.80

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Solution

The fourth proportional to 339,838.40, 509,741.40 and 115,176.80 is: 172,759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,838.40 : 509,741.40 = 115,176.80 : x
  2. Step 2: Convert to fraction form
    339,838.40/509,741.40 = 115,176.80/x
  3. Step 3: Cross multiply
    339,838.40x = 509,741.40 × 115,176.80
  4. Step 4: Simplify right side
    339,838.40x = 58,710,383,279.52
  5. Step 5: Solve for x
    x = 58,710,383,279.52/339,838.40
  6. Step 6: Final answer
    x = 172,759.71

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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.