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Finding the Fourth Proportional to 644,493.88, 967,184.52 and 223,769.80

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Solution

The fourth proportional to 644,493.88, 967,184.52 and 223,769.80 is: 335,808.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,493.88 : 967,184.52 = 223,769.80 : x
  2. Step 2: Convert to fraction form
    644,493.88/967,184.52 = 223,769.80/x
  3. Step 3: Cross multiply
    644,493.88x = 967,184.52 × 223,769.80
  4. Step 4: Simplify right side
    644,493.88x = 216,426,686,603.50
  5. Step 5: Solve for x
    x = 216,426,686,603.50/644,493.88
  6. Step 6: Final answer
    x = 335,808.75

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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.