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Finding the Fourth Proportional to 512,246.36, 768,406.68 and 196,703.27

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Solution

The fourth proportional to 512,246.36, 768,406.68 and 196,703.27 is: 295,069.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,246.36 : 768,406.68 = 196,703.27 : x
  2. Step 2: Convert to fraction form
    512,246.36/768,406.68 = 196,703.27/x
  3. Step 3: Cross multiply
    512,246.36x = 768,406.68 × 196,703.27
  4. Step 4: Simplify right side
    512,246.36x = 151,148,102,803.81
  5. Step 5: Solve for x
    x = 151,148,102,803.81/512,246.36
  6. Step 6: Final answer
    x = 295,069.16

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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.