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Finding the Fourth Proportional to 512,181.60, 768,272.40 and 459,823.20

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Solution

The fourth proportional to 512,181.60, 768,272.40 and 459,823.20 is: 689,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,181.60 : 768,272.40 = 459,823.20 : x
  2. Step 2: Convert to fraction form
    512,181.60/768,272.40 = 459,823.20/x
  3. Step 3: Cross multiply
    512,181.60x = 768,272.40 × 459,823.20
  4. Step 4: Simplify right side
    512,181.60x = 353,269,473,439.68
  5. Step 5: Solve for x
    x = 353,269,473,439.68/512,181.60
  6. Step 6: Final answer
    x = 689,734.80

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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.