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Finding the Fourth Proportional to 341,448.82, 512,128.24 and 104,771.68

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Solution

The fourth proportional to 341,448.82, 512,128.24 and 104,771.68 is: 157,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,448.82 : 512,128.24 = 104,771.68 : x
  2. Step 2: Convert to fraction form
    341,448.82/512,128.24 = 104,771.68/x
  3. Step 3: Cross multiply
    341,448.82x = 512,128.24 × 104,771.68
  4. Step 4: Simplify right side
    341,448.82x = 53,656,534,537.99
  5. Step 5: Solve for x
    x = 53,656,534,537.99/341,448.82
  6. Step 6: Final answer
    x = 157,143.71

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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.