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Finding the Fourth Proportional to 323,911.92, 446,999.13 and 180,668.28

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Solution

The fourth proportional to 323,911.92, 446,999.13 and 180,668.28 is: 249,322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,911.92 : 446,999.13 = 180,668.28 : x
  2. Step 2: Convert to fraction form
    323,911.92/446,999.13 = 180,668.28/x
  3. Step 3: Cross multiply
    323,911.92x = 446,999.13 × 180,668.28
  4. Step 4: Simplify right side
    323,911.92x = 80,758,563,978.60
  5. Step 5: Solve for x
    x = 80,758,563,978.60/323,911.92
  6. Step 6: Final answer
    x = 249,322.61

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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.