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Finding the Fourth Proportional to 512,315.00, 768,509.42 and 196,771.89

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Solution

The fourth proportional to 512,315.00, 768,509.42 and 196,771.89 is: 295,172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,315.00 : 768,509.42 = 196,771.89 : x
  2. Step 2: Convert to fraction form
    512,315.00/768,509.42 = 196,771.89/x
  3. Step 3: Cross multiply
    512,315.00x = 768,509.42 × 196,771.89
  4. Step 4: Simplify right side
    512,315.00x = 151,221,050,072.34
  5. Step 5: Solve for x
    x = 151,221,050,072.34/512,315.00
  6. Step 6: Final answer
    x = 295,172.02

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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.