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Finding the Fourth Proportional to 512,245.14, 768,457.89 and 175,206.66

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Solution

The fourth proportional to 512,245.14, 768,457.89 and 175,206.66 is: 262,840.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,245.14 : 768,457.89 = 175,206.66 : x
  2. Step 2: Convert to fraction form
    512,245.14/768,457.89 = 175,206.66/x
  3. Step 3: Cross multiply
    512,245.14x = 768,457.89 × 175,206.66
  4. Step 4: Simplify right side
    512,245.14x = 134,638,940,257.55
  5. Step 5: Solve for x
    x = 134,638,940,257.55/512,245.14
  6. Step 6: Final answer
    x = 262,840.83

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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.