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Finding the Fourth Proportional to 323,954.56, 447,052.93 and 180,717

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Solution

The fourth proportional to 323,954.56, 447,052.93 and 180,717 is: 249,387.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,954.56 : 447,052.93 = 180,717 : x
  2. Step 2: Convert to fraction form
    323,954.56/447,052.93 = 180,717/x
  3. Step 3: Cross multiply
    323,954.56x = 447,052.93 × 180,717
  4. Step 4: Simplify right side
    323,954.56x = 80,790,064,350.81
  5. Step 5: Solve for x
    x = 80,790,064,350.81/323,954.56
  6. Step 6: Final answer
    x = 249,387.03

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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.