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Finding the Fourth Proportional to 274,358.20, 412,412.10 and 258,611.80

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Solution

The fourth proportional to 274,358.20, 412,412.10 and 258,611.80 is: 388,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,358.20 : 412,412.10 = 258,611.80 : x
  2. Step 2: Convert to fraction form
    274,358.20/412,412.10 = 258,611.80/x
  3. Step 3: Cross multiply
    274,358.20x = 412,412.10 × 258,611.80
  4. Step 4: Simplify right side
    274,358.20x = 106,654,635,522.78
  5. Step 5: Solve for x
    x = 106,654,635,522.78/274,358.20
  6. Step 6: Final answer
    x = 388,742.29

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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.