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Finding the Fourth Proportional to 274,202.40, 411,433.20 and 116,565.60

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Solution

The fourth proportional to 274,202.40, 411,433.20 and 116,565.60 is: 174,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,202.40 : 411,433.20 = 116,565.60 : x
  2. Step 2: Convert to fraction form
    274,202.40/411,433.20 = 116,565.60/x
  3. Step 3: Cross multiply
    274,202.40x = 411,433.20 × 116,565.60
  4. Step 4: Simplify right side
    274,202.40x = 47,958,957,817.92
  5. Step 5: Solve for x
    x = 47,958,957,817.92/274,202.40
  6. Step 6: Final answer
    x = 174,903.49

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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.