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Finding the Fourth Proportional to 354,427.68, 489,121.92 and 193,296

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Solution

The fourth proportional to 354,427.68, 489,121.92 and 193,296 is: 266,754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,427.68 : 489,121.92 = 193,296 : x
  2. Step 2: Convert to fraction form
    354,427.68/489,121.92 = 193,296/x
  3. Step 3: Cross multiply
    354,427.68x = 489,121.92 × 193,296
  4. Step 4: Simplify right side
    354,427.68x = 94,545,310,648.32
  5. Step 5: Solve for x
    x = 94,545,310,648.32/354,427.68
  6. Step 6: Final answer
    x = 266,754.87

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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.