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Finding the Fourth Proportional to 543,564.90, 814,516.02 and 227,849.58

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Solution

The fourth proportional to 543,564.90, 814,516.02 and 227,849.58 is: 341,425.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,564.90 : 814,516.02 = 227,849.58 : x
  2. Step 2: Convert to fraction form
    543,564.90/814,516.02 = 227,849.58/x
  3. Step 3: Cross multiply
    543,564.90x = 814,516.02 × 227,849.58
  4. Step 4: Simplify right side
    543,564.90x = 185,587,133,060.27
  5. Step 5: Solve for x
    x = 185,587,133,060.27/543,564.90
  6. Step 6: Final answer
    x = 341,425.90

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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.