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Finding the Fourth Proportional to 382,410.74, 573,611.24 and 171,899.84

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Solution

The fourth proportional to 382,410.74, 573,611.24 and 171,899.84 is: 257,847.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,410.74 : 573,611.24 = 171,899.84 : x
  2. Step 2: Convert to fraction form
    382,410.74/573,611.24 = 171,899.84/x
  3. Step 3: Cross multiply
    382,410.74x = 573,611.24 × 171,899.84
  4. Step 4: Simplify right side
    382,410.74x = 98,603,680,378.20
  5. Step 5: Solve for x
    x = 98,603,680,378.20/382,410.74
  6. Step 6: Final answer
    x = 257,847.57

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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.