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Finding the Fourth Proportional to 644,644.86, 967,142.25 and 195,347.58

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Solution

The fourth proportional to 644,644.86, 967,142.25 and 195,347.58 is: 293,074.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,644.86 : 967,142.25 = 195,347.58 : x
  2. Step 2: Convert to fraction form
    644,644.86/967,142.25 = 195,347.58/x
  3. Step 3: Cross multiply
    644,644.86x = 967,142.25 × 195,347.58
  4. Step 4: Simplify right side
    644,644.86x = 188,928,898,053.26
  5. Step 5: Solve for x
    x = 188,928,898,053.26/644,644.86
  6. Step 6: Final answer
    x = 293,074.39

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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.