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Finding the Fourth Proportional to 543,456.56, 814,922.58 and 227,828.72

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Solution

The fourth proportional to 543,456.56, 814,922.58 and 227,828.72 is: 341,633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,456.56 : 814,922.58 = 227,828.72 : x
  2. Step 2: Convert to fraction form
    543,456.56/814,922.58 = 227,828.72/x
  3. Step 3: Cross multiply
    543,456.56x = 814,922.58 × 227,828.72
  4. Step 4: Simplify right side
    543,456.56x = 185,662,768,300.50
  5. Step 5: Solve for x
    x = 185,662,768,300.50/543,456.56
  6. Step 6: Final answer
    x = 341,633.13

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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.