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Finding the Fourth Proportional to 323,892.84, 446,972.90 and 180,662.16

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Solution

The fourth proportional to 323,892.84, 446,972.90 and 180,662.16 is: 249,314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,892.84 : 446,972.90 = 180,662.16 : x
  2. Step 2: Convert to fraction form
    323,892.84/446,972.90 = 180,662.16/x
  3. Step 3: Cross multiply
    323,892.84x = 446,972.90 × 180,662.16
  4. Step 4: Simplify right side
    323,892.84x = 80,751,088,672.15
  5. Step 5: Solve for x
    x = 80,751,088,672.15/323,892.84
  6. Step 6: Final answer
    x = 249,314.21

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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.