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Finding the Fourth Proportional to 416,874.96, 625,400.43 and 160,714.08

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Solution

The fourth proportional to 416,874.96, 625,400.43 and 160,714.08 is: 241,105.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,874.96 : 625,400.43 = 160,714.08 : x
  2. Step 2: Convert to fraction form
    416,874.96/625,400.43 = 160,714.08/x
  3. Step 3: Cross multiply
    416,874.96x = 625,400.43 × 160,714.08
  4. Step 4: Simplify right side
    416,874.96x = 100,510,654,739.05
  5. Step 5: Solve for x
    x = 100,510,654,739.05/416,874.96
  6. Step 6: Final answer
    x = 241,105.04

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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.