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Finding the Fourth Proportional to 323,892.09, 446,971.86 and 180,661.41

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Solution

The fourth proportional to 323,892.09, 446,971.86 and 180,661.41 is: 249,313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,892.09 : 446,971.86 = 180,661.41 : x
  2. Step 2: Convert to fraction form
    323,892.09/446,971.86 = 180,661.41/x
  3. Step 3: Cross multiply
    323,892.09x = 446,971.86 × 180,661.41
  4. Step 4: Simplify right side
    323,892.09x = 80,750,566,457.92
  5. Step 5: Solve for x
    x = 80,750,566,457.92/323,892.09
  6. Step 6: Final answer
    x = 249,313.18

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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.