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Finding the Fourth Proportional to 258,661.70, 385,708.23 and 227,200.49

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Solution

The fourth proportional to 258,661.70, 385,708.23 and 227,200.49 is: 338,794.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,661.70 : 385,708.23 = 227,200.49 : x
  2. Step 2: Convert to fraction form
    258,661.70/385,708.23 = 227,200.49/x
  3. Step 3: Cross multiply
    258,661.70x = 385,708.23 × 227,200.49
  4. Step 4: Simplify right side
    258,661.70x = 87,633,097,717.03
  5. Step 5: Solve for x
    x = 87,633,097,717.03/258,661.70
  6. Step 6: Final answer
    x = 338,794.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.