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Finding the Fourth Proportional to 543,489.08, 814,970.28 and 227,861.24

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Solution

The fourth proportional to 543,489.08, 814,970.28 and 227,861.24 is: 341,681.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,489.08 : 814,970.28 = 227,861.24 : x
  2. Step 2: Convert to fraction form
    543,489.08/814,970.28 = 227,861.24/x
  3. Step 3: Cross multiply
    543,489.08x = 814,970.28 × 227,861.24
  4. Step 4: Simplify right side
    543,489.08x = 185,700,138,563.95
  5. Step 5: Solve for x
    x = 185,700,138,563.95/543,489.08
  6. Step 6: Final answer
    x = 341,681.45

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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.