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Finding the Fourth Proportional to 339,806.78, 468,943.56 and 186,837.06

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Solution

The fourth proportional to 339,806.78, 468,943.56 and 186,837.06 is: 257,840.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,806.78 : 468,943.56 = 186,837.06 : x
  2. Step 2: Convert to fraction form
    339,806.78/468,943.56 = 186,837.06/x
  3. Step 3: Cross multiply
    339,806.78x = 468,943.56 × 186,837.06
  4. Step 4: Simplify right side
    339,806.78x = 87,616,037,814.87
  5. Step 5: Solve for x
    x = 87,616,037,814.87/339,806.78
  6. Step 6: Final answer
    x = 257,840.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.