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Finding the Fourth Proportional to 393,063.14, 589,589.22 and 224,223.14

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Solution

The fourth proportional to 393,063.14, 589,589.22 and 224,223.14 is: 336,331.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,063.14 : 589,589.22 = 224,223.14 : x
  2. Step 2: Convert to fraction form
    393,063.14/589,589.22 = 224,223.14/x
  3. Step 3: Cross multiply
    393,063.14x = 589,589.22 × 224,223.14
  4. Step 4: Simplify right side
    393,063.14x = 132,199,546,218.55
  5. Step 5: Solve for x
    x = 132,199,546,218.55/393,063.14
  6. Step 6: Final answer
    x = 336,331.58

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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.