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Finding the Fourth Proportional to 339,516.84, 509,514.57 and 159,610.47

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Solution

The fourth proportional to 339,516.84, 509,514.57 and 159,610.47 is: 239,528.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,516.84 : 509,514.57 = 159,610.47 : x
  2. Step 2: Convert to fraction form
    339,516.84/509,514.57 = 159,610.47/x
  3. Step 3: Cross multiply
    339,516.84x = 509,514.57 × 159,610.47
  4. Step 4: Simplify right side
    339,516.84x = 81,323,861,263.33
  5. Step 5: Solve for x
    x = 81,323,861,263.33/339,516.84
  6. Step 6: Final answer
    x = 239,528.21

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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.