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Finding the Fourth Proportional to 384,381.12, 576,626.80 and 118,163.98

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Solution

The fourth proportional to 384,381.12, 576,626.80 and 118,163.98 is: 177,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,381.12 : 576,626.80 = 118,163.98 : x
  2. Step 2: Convert to fraction form
    384,381.12/576,626.80 = 118,163.98/x
  3. Step 3: Cross multiply
    384,381.12x = 576,626.80 × 118,163.98
  4. Step 4: Simplify right side
    384,381.12x = 68,136,517,662.66
  5. Step 5: Solve for x
    x = 68,136,517,662.66/384,381.12
  6. Step 6: Final answer
    x = 177,262.91

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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.