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Finding the Fourth Proportional to 596,692.53, 823,424.18 and 324,766.42

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Solution

The fourth proportional to 596,692.53, 823,424.18 and 324,766.42 is: 448,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,692.53 : 823,424.18 = 324,766.42 : x
  2. Step 2: Convert to fraction form
    596,692.53/823,424.18 = 324,766.42/x
  3. Step 3: Cross multiply
    596,692.53x = 823,424.18 × 324,766.42
  4. Step 4: Simplify right side
    596,692.53x = 267,420,521,833.39
  5. Step 5: Solve for x
    x = 267,420,521,833.39/596,692.53
  6. Step 6: Final answer
    x = 448,171.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.