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Finding the Fourth Proportional to 464,735.97, 641,333.82 and 260,786.43

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Solution

The fourth proportional to 464,735.97, 641,333.82 and 260,786.43 is: 359,884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,735.97 : 641,333.82 = 260,786.43 : x
  2. Step 2: Convert to fraction form
    464,735.97/641,333.82 = 260,786.43/x
  3. Step 3: Cross multiply
    464,735.97x = 641,333.82 × 260,786.43
  4. Step 4: Simplify right side
    464,735.97x = 167,251,157,356.06
  5. Step 5: Solve for x
    x = 167,251,157,356.06/464,735.97
  6. Step 6: Final answer
    x = 359,884.25

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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.