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Finding the Fourth Proportional to 512,512.60, 768,768.90 and 453,463.60

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Solution

The fourth proportional to 512,512.60, 768,768.90 and 453,463.60 is: 680,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,512.60 : 768,768.90 = 453,463.60 : x
  2. Step 2: Convert to fraction form
    512,512.60/768,768.90 = 453,463.60/x
  3. Step 3: Cross multiply
    512,512.60x = 768,768.90 × 453,463.60
  4. Step 4: Simplify right side
    512,512.60x = 348,608,712,962.04
  5. Step 5: Solve for x
    x = 348,608,712,962.04/512,512.60
  6. Step 6: Final answer
    x = 680,195.40

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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.