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Finding the Fourth Proportional to 512,468.20, 768,702.30 and 291,284.20

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Solution

The fourth proportional to 512,468.20, 768,702.30 and 291,284.20 is: 436,926.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,468.20 : 768,702.30 = 291,284.20 : x
  2. Step 2: Convert to fraction form
    512,468.20/768,702.30 = 291,284.20/x
  3. Step 3: Cross multiply
    512,468.20x = 768,702.30 × 291,284.20
  4. Step 4: Simplify right side
    512,468.20x = 223,910,834,493.66
  5. Step 5: Solve for x
    x = 223,910,834,493.66/512,468.20
  6. Step 6: Final answer
    x = 436,926.30

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Similar ratio
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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.