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Finding the Fourth Proportional to 512,484.21, 768,059.53 and 208,524.14

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Solution

The fourth proportional to 512,484.21, 768,059.53 and 208,524.14 is: 312,514.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,484.21 : 768,059.53 = 208,524.14 : x
  2. Step 2: Convert to fraction form
    512,484.21/768,059.53 = 208,524.14/x
  3. Step 3: Cross multiply
    512,484.21x = 768,059.53 × 208,524.14
  4. Step 4: Simplify right side
    512,484.21x = 160,158,948,600.45
  5. Step 5: Solve for x
    x = 160,158,948,600.45/512,484.21
  6. Step 6: Final answer
    x = 312,514.89

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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.