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Finding the Fourth Proportional to 323,765.40, 485,453.70 and 166,301.40

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Solution

The fourth proportional to 323,765.40, 485,453.70 and 166,301.40 is: 249,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,765.40 : 485,453.70 = 166,301.40 : x
  2. Step 2: Convert to fraction form
    323,765.40/485,453.70 = 166,301.40/x
  3. Step 3: Cross multiply
    323,765.40x = 485,453.70 × 166,301.40
  4. Step 4: Simplify right side
    323,765.40x = 80,731,629,945.18
  5. Step 5: Solve for x
    x = 80,731,629,945.18/323,765.40
  6. Step 6: Final answer
    x = 249,352.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.