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Finding the Fourth Proportional to 494,295.42, 741,436.21 and 194,778.61

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Solution

The fourth proportional to 494,295.42, 741,436.21 and 194,778.61 is: 292,165.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,295.42 : 741,436.21 = 194,778.61 : x
  2. Step 2: Convert to fraction form
    494,295.42/741,436.21 = 194,778.61/x
  3. Step 3: Cross multiply
    494,295.42x = 741,436.21 × 194,778.61
  4. Step 4: Simplify right side
    494,295.42x = 144,415,914,387.47
  5. Step 5: Solve for x
    x = 144,415,914,387.47/494,295.42
  6. Step 6: Final answer
    x = 292,165.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.