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Finding the Fourth Proportional to 521,399.27, 782,394.74 and 281,509.96

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Solution

The fourth proportional to 521,399.27, 782,394.74 and 281,509.96 is: 422,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,399.27 : 782,394.74 = 281,509.96 : x
  2. Step 2: Convert to fraction form
    521,399.27/782,394.74 = 281,509.96/x
  3. Step 3: Cross multiply
    521,399.27x = 782,394.74 × 281,509.96
  4. Step 4: Simplify right side
    521,399.27x = 220,251,910,554.06
  5. Step 5: Solve for x
    x = 220,251,910,554.06/521,399.27
  6. Step 6: Final answer
    x = 422,424.66

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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.