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Finding the Fourth Proportional to 323,884.28, 446,961 and 180,653.52

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Solution

The fourth proportional to 323,884.28, 446,961 and 180,653.52 is: 249,302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,884.28 : 446,961 = 180,653.52 : x
  2. Step 2: Convert to fraction form
    323,884.28/446,961 = 180,653.52/x
  3. Step 3: Cross multiply
    323,884.28x = 446,961 × 180,653.52
  4. Step 4: Simplify right side
    323,884.28x = 80,745,077,952.72
  5. Step 5: Solve for x
    x = 80,745,077,952.72/323,884.28
  6. Step 6: Final answer
    x = 249,302.24

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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.