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Finding the Fourth Proportional to 543,074.40, 814,708.80 and 227,563.20

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Solution

The fourth proportional to 543,074.40, 814,708.80 and 227,563.20 is: 341,385.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,074.40 : 814,708.80 = 227,563.20 : x
  2. Step 2: Convert to fraction form
    543,074.40/814,708.80 = 227,563.20/x
  3. Step 3: Cross multiply
    543,074.40x = 814,708.80 × 227,563.20
  4. Step 4: Simplify right side
    543,074.40x = 185,397,741,596.16
  5. Step 5: Solve for x
    x = 185,397,741,596.16/543,074.40
  6. Step 6: Final answer
    x = 341,385.53

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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.