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Finding the Fourth Proportional to 275,433.60, 413,150.40 and 75,784.80

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Solution

The fourth proportional to 275,433.60, 413,150.40 and 75,784.80 is: 113,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,433.60 : 413,150.40 = 75,784.80 : x
  2. Step 2: Convert to fraction form
    275,433.60/413,150.40 = 75,784.80/x
  3. Step 3: Cross multiply
    275,433.60x = 413,150.40 × 75,784.80
  4. Step 4: Simplify right side
    275,433.60x = 31,310,520,433.92
  5. Step 5: Solve for x
    x = 31,310,520,433.92/275,433.60
  6. Step 6: Final answer
    x = 113,677.20

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