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Finding the Fourth Proportional to 543,158.70, 814,932.45 and 227,712.30

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Solution

The fourth proportional to 543,158.70, 814,932.45 and 227,712.30 is: 341,649.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,158.70 : 814,932.45 = 227,712.30 : x
  2. Step 2: Convert to fraction form
    543,158.70/814,932.45 = 227,712.30/x
  3. Step 3: Cross multiply
    543,158.70x = 814,932.45 × 227,712.30
  4. Step 4: Simplify right side
    543,158.70x = 185,570,142,534.14
  5. Step 5: Solve for x
    x = 185,570,142,534.14/543,158.70
  6. Step 6: Final answer
    x = 341,649.95

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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.