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Finding the Fourth Proportional to 449,653.80, 674,286.30 and 224,927.40

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Solution

The fourth proportional to 449,653.80, 674,286.30 and 224,927.40 is: 337,293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,653.80 : 674,286.30 = 224,927.40 : x
  2. Step 2: Convert to fraction form
    449,653.80/674,286.30 = 224,927.40/x
  3. Step 3: Cross multiply
    449,653.80x = 674,286.30 × 224,927.40
  4. Step 4: Simplify right side
    449,653.80x = 151,665,464,314.62
  5. Step 5: Solve for x
    x = 151,665,464,314.62/449,653.80
  6. Step 6: Final answer
    x = 337,293.86

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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.