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Finding the Fourth Proportional to 323,891.96, 446,971.50 and 180,661.28

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Solution

The fourth proportional to 323,891.96, 446,971.50 and 180,661.28 is: 249,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,891.96 : 446,971.50 = 180,661.28 : x
  2. Step 2: Convert to fraction form
    323,891.96/446,971.50 = 180,661.28/x
  3. Step 3: Cross multiply
    323,891.96x = 446,971.50 × 180,661.28
  4. Step 4: Simplify right side
    323,891.96x = 80,750,441,078.66
  5. Step 5: Solve for x
    x = 80,750,441,078.66/323,891.96
  6. Step 6: Final answer
    x = 249,312.90

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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.