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Finding the Fourth Proportional to 383,894.17, 575,841.15 and 206,156.68

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Solution

The fourth proportional to 383,894.17, 575,841.15 and 206,156.68 is: 309,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,894.17 : 575,841.15 = 206,156.68 : x
  2. Step 2: Convert to fraction form
    383,894.17/575,841.15 = 206,156.68/x
  3. Step 3: Cross multiply
    383,894.17x = 575,841.15 × 206,156.68
  4. Step 4: Simplify right side
    383,894.17x = 118,713,498,251.78
  5. Step 5: Solve for x
    x = 118,713,498,251.78/383,894.17
  6. Step 6: Final answer
    x = 309,234.96

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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.