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Finding the Fourth Proportional to 512,454.70, 768,682.05 and 291,270.70

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Solution

The fourth proportional to 512,454.70, 768,682.05 and 291,270.70 is: 436,906.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,454.70 : 768,682.05 = 291,270.70 : x
  2. Step 2: Convert to fraction form
    512,454.70/768,682.05 = 291,270.70/x
  3. Step 3: Cross multiply
    512,454.70x = 768,682.05 × 291,270.70
  4. Step 4: Simplify right side
    512,454.70x = 223,894,558,780.94
  5. Step 5: Solve for x
    x = 223,894,558,780.94/512,454.70
  6. Step 6: Final answer
    x = 436,906.05

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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.