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Finding the Fourth Proportional to 458,496.90, 632,713.40 and 274,839.21

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Solution

The fourth proportional to 458,496.90, 632,713.40 and 274,839.21 is: 379,270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,496.90 : 632,713.40 = 274,839.21 : x
  2. Step 2: Convert to fraction form
    458,496.90/632,713.40 = 274,839.21/x
  3. Step 3: Cross multiply
    458,496.90x = 632,713.40 × 274,839.21
  4. Step 4: Simplify right side
    458,496.90x = 173,894,451,012.41
  5. Step 5: Solve for x
    x = 173,894,451,012.41/458,496.90
  6. Step 6: Final answer
    x = 379,270.72

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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.