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Finding the Fourth Proportional to 828,073.31, 1,142,745.94 and 465,493.98

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Solution

The fourth proportional to 828,073.31, 1,142,745.94 and 465,493.98 is: 642,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,073.31 : 1,142,745.94 = 465,493.98 : x
  2. Step 2: Convert to fraction form
    828,073.31/1,142,745.94 = 465,493.98/x
  3. Step 3: Cross multiply
    828,073.31x = 1,142,745.94 × 465,493.98
  4. Step 4: Simplify right side
    828,073.31x = 531,941,355,739.44
  5. Step 5: Solve for x
    x = 531,941,355,739.44/828,073.31
  6. Step 6: Final answer
    x = 642,384.38

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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.