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Finding the Fourth Proportional to 599,792.86, 827,714.19 and 327,861.83

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Solution

The fourth proportional to 599,792.86, 827,714.19 and 327,861.83 is: 452,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,792.86 : 827,714.19 = 327,861.83 : x
  2. Step 2: Convert to fraction form
    599,792.86/827,714.19 = 327,861.83/x
  3. Step 3: Cross multiply
    599,792.86x = 827,714.19 × 327,861.83
  4. Step 4: Simplify right side
    599,792.86x = 271,375,887,411.06
  5. Step 5: Solve for x
    x = 271,375,887,411.06/599,792.86
  6. Step 6: Final answer
    x = 452,449.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.