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Finding the Fourth Proportional to 410,189.60, 615,381.60 and 210,540.80

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Solution

The fourth proportional to 410,189.60, 615,381.60 and 210,540.80 is: 315,861.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,189.60 : 615,381.60 = 210,540.80 : x
  2. Step 2: Convert to fraction form
    410,189.60/615,381.60 = 210,540.80/x
  3. Step 3: Cross multiply
    410,189.60x = 615,381.60 × 210,540.80
  4. Step 4: Simplify right side
    410,189.60x = 129,562,934,369.28
  5. Step 5: Solve for x
    x = 129,562,934,369.28/410,189.60
  6. Step 6: Final answer
    x = 315,861.09

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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.