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Finding the Fourth Proportional to 462,563.75, 694,449.90 and 371,427.82

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Solution

The fourth proportional to 462,563.75, 694,449.90 and 371,427.82 is: 557,626.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,563.75 : 694,449.90 = 371,427.82 : x
  2. Step 2: Convert to fraction form
    462,563.75/694,449.90 = 371,427.82/x
  3. Step 3: Cross multiply
    462,563.75x = 694,449.90 × 371,427.82
  4. Step 4: Simplify right side
    462,563.75x = 257,938,012,456.22
  5. Step 5: Solve for x
    x = 257,938,012,456.22/462,563.75
  6. Step 6: Final answer
    x = 557,626.95

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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.