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Finding the Fourth Proportional to 270,847.74, 406,309.41 and 113,040.06

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Solution

The fourth proportional to 270,847.74, 406,309.41 and 113,040.06 is: 169,575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,847.74 : 406,309.41 = 113,040.06 : x
  2. Step 2: Convert to fraction form
    270,847.74/406,309.41 = 113,040.06/x
  3. Step 3: Cross multiply
    270,847.74x = 406,309.41 × 113,040.06
  4. Step 4: Simplify right side
    270,847.74x = 45,929,240,084.96
  5. Step 5: Solve for x
    x = 45,929,240,084.96/270,847.74
  6. Step 6: Final answer
    x = 169,575.87

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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.