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Finding the Fourth Proportional to 424,098.22, 585,198.90 and 262,894.48

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Solution

The fourth proportional to 424,098.22, 585,198.90 and 262,894.48 is: 362,759.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,098.22 : 585,198.90 = 262,894.48 : x
  2. Step 2: Convert to fraction form
    424,098.22/585,198.90 = 262,894.48/x
  3. Step 3: Cross multiply
    424,098.22x = 585,198.90 × 262,894.48
  4. Step 4: Simplify right side
    424,098.22x = 153,845,560,512.07
  5. Step 5: Solve for x
    x = 153,845,560,512.07/424,098.22
  6. Step 6: Final answer
    x = 362,759.27

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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.