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Finding the Fourth Proportional to 462,377.25, 693,705.74 and 327,701.79

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Solution

The fourth proportional to 462,377.25, 693,705.74 and 327,701.79 is: 491,651.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,377.25 : 693,705.74 = 327,701.79 : x
  2. Step 2: Convert to fraction form
    462,377.25/693,705.74 = 327,701.79/x
  3. Step 3: Cross multiply
    462,377.25x = 693,705.74 × 327,701.79
  4. Step 4: Simplify right side
    462,377.25x = 227,328,611,092.77
  5. Step 5: Solve for x
    x = 227,328,611,092.77/462,377.25
  6. Step 6: Final answer
    x = 491,651.81

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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.