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Finding the Fourth Proportional to 323,884.17, 446,960.84 and 180,640.53

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Solution

The fourth proportional to 323,884.17, 446,960.84 and 180,640.53 is: 249,284.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,884.17 : 446,960.84 = 180,640.53 : x
  2. Step 2: Convert to fraction form
    323,884.17/446,960.84 = 180,640.53/x
  3. Step 3: Cross multiply
    323,884.17x = 446,960.84 × 180,640.53
  4. Step 4: Simplify right side
    323,884.17x = 80,739,242,123.64
  5. Step 5: Solve for x
    x = 80,739,242,123.64/323,884.17
  6. Step 6: Final answer
    x = 249,284.31

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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.