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Finding the Fourth Proportional to 632,440.80, 946,692.90 and 365,408.10

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Solution

The fourth proportional to 632,440.80, 946,692.90 and 365,408.10 is: 546,974.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,440.80 : 946,692.90 = 365,408.10 : x
  2. Step 2: Convert to fraction form
    632,440.80/946,692.90 = 365,408.10/x
  3. Step 3: Cross multiply
    632,440.80x = 946,692.90 × 365,408.10
  4. Step 4: Simplify right side
    632,440.80x = 345,929,253,872.49
  5. Step 5: Solve for x
    x = 345,929,253,872.49/632,440.80
  6. Step 6: Final answer
    x = 546,974.92

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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.