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Finding the Fourth Proportional to 339,578.72, 468,410.19 and 201,663.96

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Solution

The fourth proportional to 339,578.72, 468,410.19 and 201,663.96 is: 278,172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,578.72 : 468,410.19 = 201,663.96 : x
  2. Step 2: Convert to fraction form
    339,578.72/468,410.19 = 201,663.96/x
  3. Step 3: Cross multiply
    339,578.72x = 468,410.19 × 201,663.96
  4. Step 4: Simplify right side
    339,578.72x = 94,461,453,819.75
  5. Step 5: Solve for x
    x = 94,461,453,819.75/339,578.72
  6. Step 6: Final answer
    x = 278,172.48

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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.