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Finding the Fourth Proportional to 543,029.20, 814,932.60 and 227,712.40

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Solution

The fourth proportional to 543,029.20, 814,932.60 and 227,712.40 is: 341,731.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,029.20 : 814,932.60 = 227,712.40 : x
  2. Step 2: Convert to fraction form
    543,029.20/814,932.60 = 227,712.40/x
  3. Step 3: Cross multiply
    543,029.20x = 814,932.60 × 227,712.40
  4. Step 4: Simplify right side
    543,029.20x = 185,570,258,184.24
  5. Step 5: Solve for x
    x = 185,570,258,184.24/543,029.20
  6. Step 6: Final answer
    x = 341,731.64

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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.