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Finding the Fourth Proportional to 496,168.86, 684,692.36 and 281,323.46

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Solution

The fourth proportional to 496,168.86, 684,692.36 and 281,323.46 is: 388,214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,168.86 : 684,692.36 = 281,323.46 : x
  2. Step 2: Convert to fraction form
    496,168.86/684,692.36 = 281,323.46/x
  3. Step 3: Cross multiply
    496,168.86x = 684,692.36 × 281,323.46
  4. Step 4: Simplify right side
    496,168.86x = 192,620,023,750.77
  5. Step 5: Solve for x
    x = 192,620,023,750.77/496,168.86
  6. Step 6: Final answer
    x = 388,214.66

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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.