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Finding the Fourth Proportional to 827,691.82, 1,142,235 and 465,093.94

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Solution

The fourth proportional to 827,691.82, 1,142,235 and 465,093.94 is: 641,841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,691.82 : 1,142,235 = 465,093.94 : x
  2. Step 2: Convert to fraction form
    827,691.82/1,142,235 = 465,093.94/x
  3. Step 3: Cross multiply
    827,691.82x = 1,142,235 × 465,093.94
  4. Step 4: Simplify right side
    827,691.82x = 531,246,576,555.90
  5. Step 5: Solve for x
    x = 531,246,576,555.90/827,691.82
  6. Step 6: Final answer
    x = 641,841.04

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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.