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Finding the Fourth Proportional to 323,892.21, 446,971.85 and 180,661.53

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Solution

The fourth proportional to 323,892.21, 446,971.85 and 180,661.53 is: 249,313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,892.21 : 446,971.85 = 180,661.53 : x
  2. Step 2: Convert to fraction form
    323,892.21/446,971.85 = 180,661.53/x
  3. Step 3: Cross multiply
    323,892.21x = 446,971.85 × 180,661.53
  4. Step 4: Simplify right side
    323,892.21x = 80,750,618,287.93
  5. Step 5: Solve for x
    x = 80,750,618,287.93/323,892.21
  6. Step 6: Final answer
    x = 249,313.25

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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.