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Finding the Fourth Proportional to 520,800.96, 781,231.90 and 200,954.54

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Solution

The fourth proportional to 520,800.96, 781,231.90 and 200,954.54 is: 301,443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,800.96 : 781,231.90 = 200,954.54 : x
  2. Step 2: Convert to fraction form
    520,800.96/781,231.90 = 200,954.54/x
  3. Step 3: Cross multiply
    520,800.96x = 781,231.90 × 200,954.54
  4. Step 4: Simplify right side
    520,800.96x = 156,992,097,097.83
  5. Step 5: Solve for x
    x = 156,992,097,097.83/520,800.96
  6. Step 6: Final answer
    x = 301,443.56

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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.