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Finding the Fourth Proportional to 512,274.60, 718,234.20 and 512,274.60

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Solution

The fourth proportional to 512,274.60, 718,234.20 and 512,274.60 is: 718,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,274.60 : 718,234.20 = 512,274.60 : x
  2. Step 2: Convert to fraction form
    512,274.60/718,234.20 = 512,274.60/x
  3. Step 3: Cross multiply
    512,274.60x = 718,234.20 × 512,274.60
  4. Step 4: Simplify right side
    512,274.60x = 367,933,137,511.32
  5. Step 5: Solve for x
    x = 367,933,137,511.32/512,274.60
  6. Step 6: Final answer
    x = 718,234.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.