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Finding the Fourth Proportional to 644,913.80, 967,808.10 and 419,725.70

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Solution

The fourth proportional to 644,913.80, 967,808.10 and 419,725.70 is: 629,873.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,913.80 : 967,808.10 = 419,725.70 : x
  2. Step 2: Convert to fraction form
    644,913.80/967,808.10 = 419,725.70/x
  3. Step 3: Cross multiply
    644,913.80x = 967,808.10 × 419,725.70
  4. Step 4: Simplify right side
    644,913.80x = 406,213,932,238.17
  5. Step 5: Solve for x
    x = 406,213,932,238.17/644,913.80
  6. Step 6: Final answer
    x = 629,873.22

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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.