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Finding the Fourth Proportional to 393,003.76, 589,576.92 and 224,713.84

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Solution

The fourth proportional to 393,003.76, 589,576.92 and 224,713.84 is: 337,111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,003.76 : 589,576.92 = 224,713.84 : x
  2. Step 2: Convert to fraction form
    393,003.76/589,576.92 = 224,713.84/x
  3. Step 3: Cross multiply
    393,003.76x = 589,576.92 × 224,713.84
  4. Step 4: Simplify right side
    393,003.76x = 132,486,093,668.57
  5. Step 5: Solve for x
    x = 132,486,093,668.57/393,003.76
  6. Step 6: Final answer
    x = 337,111.52

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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.