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Finding the Fourth Proportional to 512,439.60, 768,659.40 and 475,114.80

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Solution

The fourth proportional to 512,439.60, 768,659.40 and 475,114.80 is: 712,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,439.60 : 768,659.40 = 475,114.80 : x
  2. Step 2: Convert to fraction form
    512,439.60/768,659.40 = 475,114.80/x
  3. Step 3: Cross multiply
    512,439.60x = 768,659.40 × 475,114.80
  4. Step 4: Simplify right side
    512,439.60x = 365,201,457,099.12
  5. Step 5: Solve for x
    x = 365,201,457,099.12/512,439.60
  6. Step 6: Final answer
    x = 712,672.20

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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.