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Finding the Fourth Proportional to 521,706.38, 782,331.68 and 184,635

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Solution

The fourth proportional to 521,706.38, 782,331.68 and 184,635 is: 276,871.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,706.38 : 782,331.68 = 184,635 : x
  2. Step 2: Convert to fraction form
    521,706.38/782,331.68 = 184,635/x
  3. Step 3: Cross multiply
    521,706.38x = 782,331.68 × 184,635
  4. Step 4: Simplify right side
    521,706.38x = 144,445,810,198.39
  5. Step 5: Solve for x
    x = 144,445,810,198.39/521,706.38
  6. Step 6: Final answer
    x = 276,871.85

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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.