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Finding the Fourth Proportional to 323,896.46, 446,977.71 and 180,665.78

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Solution

The fourth proportional to 323,896.46, 446,977.71 and 180,665.78 is: 249,319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,896.46 : 446,977.71 = 180,665.78 : x
  2. Step 2: Convert to fraction form
    323,896.46/446,977.71 = 180,665.78/x
  3. Step 3: Cross multiply
    323,896.46x = 446,977.71 × 180,665.78
  4. Step 4: Simplify right side
    323,896.46x = 80,753,574,384.88
  5. Step 5: Solve for x
    x = 80,753,574,384.88/323,896.46
  6. Step 6: Final answer
    x = 249,319.11

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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.