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Finding the Fourth Proportional to 512,846.64, 769,302.79 and 197,303.54

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Solution

The fourth proportional to 512,846.64, 769,302.79 and 197,303.54 is: 295,967.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,846.64 : 769,302.79 = 197,303.54 : x
  2. Step 2: Convert to fraction form
    512,846.64/769,302.79 = 197,303.54/x
  3. Step 3: Cross multiply
    512,846.64x = 769,302.79 × 197,303.54
  4. Step 4: Simplify right side
    512,846.64x = 151,786,165,228.88
  5. Step 5: Solve for x
    x = 151,786,165,228.88/512,846.64
  6. Step 6: Final answer
    x = 295,967.94

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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.