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Finding the Fourth Proportional to 424,097.22, 585,197.52 and 262,893.48

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Solution

The fourth proportional to 424,097.22, 585,197.52 and 262,893.48 is: 362,757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,097.22 : 585,197.52 = 262,893.48 : x
  2. Step 2: Convert to fraction form
    424,097.22/585,197.52 = 262,893.48/x
  3. Step 3: Cross multiply
    424,097.22x = 585,197.52 × 262,893.48
  4. Step 4: Simplify right side
    424,097.22x = 153,844,612,520.17
  5. Step 5: Solve for x
    x = 153,844,612,520.17/424,097.22
  6. Step 6: Final answer
    x = 362,757.89

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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.