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Finding the Fourth Proportional to 283,074.26, 424,626.51 and 72,714.02

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Solution

The fourth proportional to 283,074.26, 424,626.51 and 72,714.02 is: 109,074.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,074.26 : 424,626.51 = 72,714.02 : x
  2. Step 2: Convert to fraction form
    283,074.26/424,626.51 = 72,714.02/x
  3. Step 3: Cross multiply
    283,074.26x = 424,626.51 × 72,714.02
  4. Step 4: Simplify right side
    283,074.26x = 30,876,300,540.67
  5. Step 5: Solve for x
    x = 30,876,300,540.67/283,074.26
  6. Step 6: Final answer
    x = 109,074.91

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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.