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Finding the Fourth Proportional to 323,280.69, 446,141.19 and 180,040.73

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Solution

The fourth proportional to 323,280.69, 446,141.19 and 180,040.73 is: 248,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,280.69 : 446,141.19 = 180,040.73 : x
  2. Step 2: Convert to fraction form
    323,280.69/446,141.19 = 180,040.73/x
  3. Step 3: Cross multiply
    323,280.69x = 446,141.19 × 180,040.73
  4. Step 4: Simplify right side
    323,280.69x = 80,323,583,965.21
  5. Step 5: Solve for x
    x = 80,323,583,965.21/323,280.69
  6. Step 6: Final answer
    x = 248,463.91

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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.