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Finding the Fourth Proportional to 323,902.76, 446,984.64 and 180,662.69

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Solution

The fourth proportional to 323,902.76, 446,984.64 and 180,662.69 is: 249,313.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,902.76 : 446,984.64 = 180,662.69 : x
  2. Step 2: Convert to fraction form
    323,902.76/446,984.64 = 180,662.69/x
  3. Step 3: Cross multiply
    323,902.76x = 446,984.64 × 180,662.69
  4. Step 4: Simplify right side
    323,902.76x = 80,753,445,216.16
  5. Step 5: Solve for x
    x = 80,753,445,216.16/323,902.76
  6. Step 6: Final answer
    x = 249,313.86

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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.