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Finding the Fourth Proportional to 512,314, 768,475.32 and 179,890

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Solution

The fourth proportional to 512,314, 768,475.32 and 179,890 is: 269,836.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,314 : 768,475.32 = 179,890 : x
  2. Step 2: Convert to fraction form
    512,314/768,475.32 = 179,890/x
  3. Step 3: Cross multiply
    512,314x = 768,475.32 × 179,890
  4. Step 4: Simplify right side
    512,314x = 138,241,025,314.80
  5. Step 5: Solve for x
    x = 138,241,025,314.80/512,314
  6. Step 6: Final answer
    x = 269,836.52

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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.