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Finding the Fourth Proportional to 644,915.80, 967,811.10 and 419,727.70

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Solution

The fourth proportional to 644,915.80, 967,811.10 and 419,727.70 is: 629,876.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,915.80 : 967,811.10 = 419,727.70 : x
  2. Step 2: Convert to fraction form
    644,915.80/967,811.10 = 419,727.70/x
  3. Step 3: Cross multiply
    644,915.80x = 967,811.10 × 419,727.70
  4. Step 4: Simplify right side
    644,915.80x = 406,217,127,037.47
  5. Step 5: Solve for x
    x = 406,217,127,037.47/644,915.80
  6. Step 6: Final answer
    x = 629,876.22

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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.