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Finding the Fourth Proportional to 580,657.14, 801,286.20 and 326,019.06

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Solution

The fourth proportional to 580,657.14, 801,286.20 and 326,019.06 is: 449,894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,657.14 : 801,286.20 = 326,019.06 : x
  2. Step 2: Convert to fraction form
    580,657.14/801,286.20 = 326,019.06/x
  3. Step 3: Cross multiply
    580,657.14x = 801,286.20 × 326,019.06
  4. Step 4: Simplify right side
    580,657.14x = 261,234,573,714.97
  5. Step 5: Solve for x
    x = 261,234,573,714.97/580,657.14
  6. Step 6: Final answer
    x = 449,894.71

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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.