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Finding the Fourth Proportional to 512,558.60, 768,837.90 and 457,446.20

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Solution

The fourth proportional to 512,558.60, 768,837.90 and 457,446.20 is: 686,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,558.60 : 768,837.90 = 457,446.20 : x
  2. Step 2: Convert to fraction form
    512,558.60/768,837.90 = 457,446.20/x
  3. Step 3: Cross multiply
    512,558.60x = 768,837.90 × 457,446.20
  4. Step 4: Simplify right side
    512,558.60x = 351,701,975,770.98
  5. Step 5: Solve for x
    x = 351,701,975,770.98/512,558.60
  6. Step 6: Final answer
    x = 686,169.30

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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.