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Finding the Fourth Proportional to 513,289.14, 769,868.08 and 213,713.88

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Solution

The fourth proportional to 513,289.14, 769,868.08 and 213,713.88 is: 320,543.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,289.14 : 769,868.08 = 213,713.88 : x
  2. Step 2: Convert to fraction form
    513,289.14/769,868.08 = 213,713.88/x
  3. Step 3: Cross multiply
    513,289.14x = 769,868.08 × 213,713.88
  4. Step 4: Simplify right side
    513,289.14x = 164,531,491,043.66
  5. Step 5: Solve for x
    x = 164,531,491,043.66/513,289.14
  6. Step 6: Final answer
    x = 320,543.49

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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.