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Finding the Fourth Proportional to 461,859.82, 637,310.31 and 257,922.07

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Solution

The fourth proportional to 461,859.82, 637,310.31 and 257,922.07 is: 355,901.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,859.82 : 637,310.31 = 257,922.07 : x
  2. Step 2: Convert to fraction form
    461,859.82/637,310.31 = 257,922.07/x
  3. Step 3: Cross multiply
    461,859.82x = 637,310.31 × 257,922.07
  4. Step 4: Simplify right side
    461,859.82x = 164,376,394,387.54
  5. Step 5: Solve for x
    x = 164,376,394,387.54/461,859.82
  6. Step 6: Final answer
    x = 355,901.05

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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.