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Finding the Fourth Proportional to 424,097.72, 585,198.21 and 262,893.98

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Solution

The fourth proportional to 424,097.72, 585,198.21 and 262,893.98 is: 362,758.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,097.72 : 585,198.21 = 262,893.98 : x
  2. Step 2: Convert to fraction form
    424,097.72/585,198.21 = 262,893.98/x
  3. Step 3: Cross multiply
    424,097.72x = 585,198.21 × 262,893.98
  4. Step 4: Simplify right side
    424,097.72x = 153,845,086,515.78
  5. Step 5: Solve for x
    x = 153,845,086,515.78/424,097.72
  6. Step 6: Final answer
    x = 362,758.58

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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.