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Finding the Fourth Proportional to 409,817.60, 615,115.20 and 252,353.60

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Solution

The fourth proportional to 409,817.60, 615,115.20 and 252,353.60 is: 378,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,817.60 : 615,115.20 = 252,353.60 : x
  2. Step 2: Convert to fraction form
    409,817.60/615,115.20 = 252,353.60/x
  3. Step 3: Cross multiply
    409,817.60x = 615,115.20 × 252,353.60
  4. Step 4: Simplify right side
    409,817.60x = 155,226,535,134.72
  5. Step 5: Solve for x
    x = 155,226,535,134.72/409,817.60
  6. Step 6: Final answer
    x = 378,769.81

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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.