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Finding the Fourth Proportional to 393,829.56, 543,497.31 and 224,074.62

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Solution

The fourth proportional to 393,829.56, 543,497.31 and 224,074.62 is: 309,230.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,829.56 : 543,497.31 = 224,074.62 : x
  2. Step 2: Convert to fraction form
    393,829.56/543,497.31 = 224,074.62/x
  3. Step 3: Cross multiply
    393,829.56x = 543,497.31 × 224,074.62
  4. Step 4: Simplify right side
    393,829.56x = 121,783,953,209.27
  5. Step 5: Solve for x
    x = 121,783,953,209.27/393,829.56
  6. Step 6: Final answer
    x = 309,230.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.