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Finding the Fourth Proportional to 323,927.16, 447,019.23 and 180,687.16

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Solution

The fourth proportional to 323,927.16, 447,019.23 and 180,687.16 is: 249,348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,927.16 : 447,019.23 = 180,687.16 : x
  2. Step 2: Convert to fraction form
    323,927.16/447,019.23 = 180,687.16/x
  3. Step 3: Cross multiply
    323,927.16x = 447,019.23 × 180,687.16
  4. Step 4: Simplify right side
    323,927.16x = 80,770,635,134.09
  5. Step 5: Solve for x
    x = 80,770,635,134.09/323,927.16
  6. Step 6: Final answer
    x = 249,348.14

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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.