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Finding the Fourth Proportional to 539,500.50, 809,265.60 and 165,523.50

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Solution

The fourth proportional to 539,500.50, 809,265.60 and 165,523.50 is: 248,289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,500.50 : 809,265.60 = 165,523.50 : x
  2. Step 2: Convert to fraction form
    539,500.50/809,265.60 = 165,523.50/x
  3. Step 3: Cross multiply
    539,500.50x = 809,265.60 × 165,523.50
  4. Step 4: Simplify right side
    539,500.50x = 133,952,474,541.60
  5. Step 5: Solve for x
    x = 133,952,474,541.60/539,500.50
  6. Step 6: Final answer
    x = 248,289.81

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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.