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Finding the Fourth Proportional to 465,080.70, 641,639.16 and 292,952.46

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Solution

The fourth proportional to 465,080.70, 641,639.16 and 292,952.46 is: 404,165.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,080.70 : 641,639.16 = 292,952.46 : x
  2. Step 2: Convert to fraction form
    465,080.70/641,639.16 = 292,952.46/x
  3. Step 3: Cross multiply
    465,080.70x = 641,639.16 × 292,952.46
  4. Step 4: Simplify right side
    465,080.70x = 187,969,770,354.33
  5. Step 5: Solve for x
    x = 187,969,770,354.33/465,080.70
  6. Step 6: Final answer
    x = 404,165.92

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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.