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Finding the Fourth Proportional to 496,153.76, 684,692.16 and 281,293.80

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Solution

The fourth proportional to 496,153.76, 684,692.16 and 281,293.80 is: 388,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,153.76 : 684,692.16 = 281,293.80 : x
  2. Step 2: Convert to fraction form
    496,153.76/684,692.16 = 281,293.80/x
  3. Step 3: Cross multiply
    496,153.76x = 684,692.16 × 281,293.80
  4. Step 4: Simplify right side
    496,153.76x = 192,599,659,516.61
  5. Step 5: Solve for x
    x = 192,599,659,516.61/496,153.76
  6. Step 6: Final answer
    x = 388,185.43

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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.