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Finding the Fourth Proportional to 410,178.60, 614,231.10 and 327,234.60

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Solution

The fourth proportional to 410,178.60, 614,231.10 and 327,234.60 is: 490,024.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,178.60 : 614,231.10 = 327,234.60 : x
  2. Step 2: Convert to fraction form
    410,178.60/614,231.10 = 327,234.60/x
  3. Step 3: Cross multiply
    410,178.60x = 614,231.10 × 327,234.60
  4. Step 4: Simplify right side
    410,178.60x = 200,997,668,316.06
  5. Step 5: Solve for x
    x = 200,997,668,316.06/410,178.60
  6. Step 6: Final answer
    x = 490,024.76

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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.