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Finding the Fourth Proportional to 354,706.46, 489,505.32 and 193,571.92

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Solution

The fourth proportional to 354,706.46, 489,505.32 and 193,571.92 is: 267,134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,706.46 : 489,505.32 = 193,571.92 : x
  2. Step 2: Convert to fraction form
    354,706.46/489,505.32 = 193,571.92/x
  3. Step 3: Cross multiply
    354,706.46x = 489,505.32 × 193,571.92
  4. Step 4: Simplify right side
    354,706.46x = 94,754,483,418.85
  5. Step 5: Solve for x
    x = 94,754,483,418.85/354,706.46
  6. Step 6: Final answer
    x = 267,134.92

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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.