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Finding the Fourth Proportional to 512,117.80, 768,176.70 and 354,524.20

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Solution

The fourth proportional to 512,117.80, 768,176.70 and 354,524.20 is: 531,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,117.80 : 768,176.70 = 354,524.20 : x
  2. Step 2: Convert to fraction form
    512,117.80/768,176.70 = 354,524.20/x
  3. Step 3: Cross multiply
    512,117.80x = 768,176.70 × 354,524.20
  4. Step 4: Simplify right side
    512,117.80x = 272,337,230,026.14
  5. Step 5: Solve for x
    x = 272,337,230,026.14/512,117.80
  6. Step 6: Final answer
    x = 531,786.30

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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.