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Finding the Fourth Proportional to 323,890.70, 446,969.78 and 180,660.02

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Solution

The fourth proportional to 323,890.70, 446,969.78 and 180,660.02 is: 249,311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,890.70 : 446,969.78 = 180,660.02 : x
  2. Step 2: Convert to fraction form
    323,890.70/446,969.78 = 180,660.02/x
  3. Step 3: Cross multiply
    323,890.70x = 446,969.78 × 180,660.02
  4. Step 4: Simplify right side
    323,890.70x = 80,749,569,394.20
  5. Step 5: Solve for x
    x = 80,749,569,394.20/323,890.70
  6. Step 6: Final answer
    x = 249,311.17

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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.