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Finding the Fourth Proportional to 409,563.60, 614,211.69 and 135,936.30

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Solution

The fourth proportional to 409,563.60, 614,211.69 and 135,936.30 is: 203,860.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,563.60 : 614,211.69 = 135,936.30 : x
  2. Step 2: Convert to fraction form
    409,563.60/614,211.69 = 135,936.30/x
  3. Step 3: Cross multiply
    409,563.60x = 614,211.69 × 135,936.30
  4. Step 4: Simplify right side
    409,563.60x = 83,493,664,555.35
  5. Step 5: Solve for x
    x = 83,493,664,555.35/409,563.60
  6. Step 6: Final answer
    x = 203,860.07

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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.