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Finding the Fourth Proportional to 469,512.69, 647,942.17 and 265,559.63

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Solution

The fourth proportional to 469,512.69, 647,942.17 and 265,559.63 is: 366,480.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,512.69 : 647,942.17 = 265,559.63 : x
  2. Step 2: Convert to fraction form
    469,512.69/647,942.17 = 265,559.63/x
  3. Step 3: Cross multiply
    469,512.69x = 647,942.17 × 265,559.63
  4. Step 4: Simplify right side
    469,512.69x = 172,067,283,165.59
  5. Step 5: Solve for x
    x = 172,067,283,165.59/469,512.69
  6. Step 6: Final answer
    x = 366,480.58

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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.