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Finding the Fourth Proportional to 208,297.59, 312,446.40 and 58,531.83

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Solution

The fourth proportional to 208,297.59, 312,446.40 and 58,531.83 is: 87,797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,297.59 : 312,446.40 = 58,531.83 : x
  2. Step 2: Convert to fraction form
    208,297.59/312,446.40 = 58,531.83/x
  3. Step 3: Cross multiply
    208,297.59x = 312,446.40 × 58,531.83
  4. Step 4: Simplify right side
    208,297.59x = 18,288,059,568.91
  5. Step 5: Solve for x
    x = 18,288,059,568.91/208,297.59
  6. Step 6: Final answer
    x = 87,797.75

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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.