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Finding the Fourth Proportional to 450,171.44, 674,507.49 and 316,771.43

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Solution

The fourth proportional to 450,171.44, 674,507.49 and 316,771.43 is: 474,629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,171.44 : 674,507.49 = 316,771.43 : x
  2. Step 2: Convert to fraction form
    450,171.44/674,507.49 = 316,771.43/x
  3. Step 3: Cross multiply
    450,171.44x = 674,507.49 × 316,771.43
  4. Step 4: Simplify right side
    450,171.44x = 213,664,698,780.47
  5. Step 5: Solve for x
    x = 213,664,698,780.47/450,171.44
  6. Step 6: Final answer
    x = 474,629.62

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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.