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Finding the Fourth Proportional to 323,601.48, 446,580.54 and 180,391.86

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Solution

The fourth proportional to 323,601.48, 446,580.54 and 180,391.86 is: 248,946.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,601.48 : 446,580.54 = 180,391.86 : x
  2. Step 2: Convert to fraction form
    323,601.48/446,580.54 = 180,391.86/x
  3. Step 3: Cross multiply
    323,601.48x = 446,580.54 × 180,391.86
  4. Step 4: Simplify right side
    323,601.48x = 80,559,494,250.40
  5. Step 5: Solve for x
    x = 80,559,494,250.40/323,601.48
  6. Step 6: Final answer
    x = 248,946.62

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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.