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Finding the Fourth Proportional to 835,621.94, 1,153,163 and 491,472.38

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Solution

The fourth proportional to 835,621.94, 1,153,163 and 491,472.38 is: 678,234.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,621.94 : 1,153,163 = 491,472.38 : x
  2. Step 2: Convert to fraction form
    835,621.94/1,153,163 = 491,472.38/x
  3. Step 3: Cross multiply
    835,621.94x = 1,153,163 × 491,472.38
  4. Step 4: Simplify right side
    835,621.94x = 566,747,764,137.94
  5. Step 5: Solve for x
    x = 566,747,764,137.94/835,621.94
  6. Step 6: Final answer
    x = 678,234.66

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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.