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Finding the Fourth Proportional to 543,489.58, 814,971.03 and 227,861.74

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Solution

The fourth proportional to 543,489.58, 814,971.03 and 227,861.74 is: 341,682.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,489.58 : 814,971.03 = 227,861.74 : x
  2. Step 2: Convert to fraction form
    543,489.58/814,971.03 = 227,861.74/x
  3. Step 3: Cross multiply
    543,489.58x = 814,971.03 × 227,861.74
  4. Step 4: Simplify right side
    543,489.58x = 185,700,716,945.39
  5. Step 5: Solve for x
    x = 185,700,716,945.39/543,489.58
  6. Step 6: Final answer
    x = 341,682.20

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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.