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Finding the Fourth Proportional to 274,358.06, 411,611.04 and 114,380.82

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Solution

The fourth proportional to 274,358.06, 411,611.04 and 114,380.82 is: 171,602.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,358.06 : 411,611.04 = 114,380.82 : x
  2. Step 2: Convert to fraction form
    274,358.06/411,611.04 = 114,380.82/x
  3. Step 3: Cross multiply
    274,358.06x = 411,611.04 × 114,380.82
  4. Step 4: Simplify right side
    274,358.06x = 47,080,408,276.25
  5. Step 5: Solve for x
    x = 47,080,408,276.25/274,358.06
  6. Step 6: Final answer
    x = 171,602.06

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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.