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Finding the Fourth Proportional to 512,491.82, 768,811.23 and 157,535.64

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Solution

The fourth proportional to 512,491.82, 768,811.23 and 157,535.64 is: 236,326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,491.82 : 768,811.23 = 157,535.64 : x
  2. Step 2: Convert to fraction form
    512,491.82/768,811.23 = 157,535.64/x
  3. Step 3: Cross multiply
    512,491.82x = 768,811.23 × 157,535.64
  4. Step 4: Simplify right side
    512,491.82x = 121,115,169,157.24
  5. Step 5: Solve for x
    x = 121,115,169,157.24/512,491.82
  6. Step 6: Final answer
    x = 236,326.06

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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.