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Finding the Fourth Proportional to 410,180.60, 614,234.10 and 327,236.60

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Solution

The fourth proportional to 410,180.60, 614,234.10 and 327,236.60 is: 490,027.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,180.60 : 614,234.10 = 327,236.60 : x
  2. Step 2: Convert to fraction form
    410,180.60/614,234.10 = 327,236.60/x
  3. Step 3: Cross multiply
    410,180.60x = 614,234.10 × 327,236.60
  4. Step 4: Simplify right side
    410,180.60x = 200,999,878,488.06
  5. Step 5: Solve for x
    x = 200,999,878,488.06/410,180.60
  6. Step 6: Final answer
    x = 490,027.75

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1.5x scale

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.