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Finding the Fourth Proportional to 323,885.28, 446,962.38 and 180,654.52

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Solution

The fourth proportional to 323,885.28, 446,962.38 and 180,654.52 is: 249,303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,885.28 : 446,962.38 = 180,654.52 : x
  2. Step 2: Convert to fraction form
    323,885.28/446,962.38 = 180,654.52/x
  3. Step 3: Cross multiply
    323,885.28x = 446,962.38 × 180,654.52
  4. Step 4: Simplify right side
    323,885.28x = 80,745,774,216.96
  5. Step 5: Solve for x
    x = 80,745,774,216.96/323,885.28
  6. Step 6: Final answer
    x = 249,303.62

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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.