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Finding the Fourth Proportional to 512,514.87, 768,293.11 and 228,050.93

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Solution

The fourth proportional to 512,514.87, 768,293.11 and 228,050.93 is: 341,863.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,514.87 : 768,293.11 = 228,050.93 : x
  2. Step 2: Convert to fraction form
    512,514.87/768,293.11 = 228,050.93/x
  3. Step 3: Cross multiply
    512,514.87x = 768,293.11 × 228,050.93
  4. Step 4: Simplify right side
    512,514.87x = 175,209,954,691.69
  5. Step 5: Solve for x
    x = 175,209,954,691.69/512,514.87
  6. Step 6: Final answer
    x = 341,863.16

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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.