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Finding the Fourth Proportional to 465,138.40, 641,960.90 and 283,955.58

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Solution

The fourth proportional to 465,138.40, 641,960.90 and 283,955.58 is: 391,901.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,138.40 : 641,960.90 = 283,955.58 : x
  2. Step 2: Convert to fraction form
    465,138.40/641,960.90 = 283,955.58/x
  3. Step 3: Cross multiply
    465,138.40x = 641,960.90 × 283,955.58
  4. Step 4: Simplify right side
    465,138.40x = 182,288,379,696.82
  5. Step 5: Solve for x
    x = 182,288,379,696.82/465,138.40
  6. Step 6: Final answer
    x = 391,901.38

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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.