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Finding the Fourth Proportional to 354,951.53, 489,829.39 and 193,806.08

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Solution

The fourth proportional to 354,951.53, 489,829.39 and 193,806.08 is: 267,450.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,951.53 : 489,829.39 = 193,806.08 : x
  2. Step 2: Convert to fraction form
    354,951.53/489,829.39 = 193,806.08/x
  3. Step 3: Cross multiply
    354,951.53x = 489,829.39 × 193,806.08
  4. Step 4: Simplify right side
    354,951.53x = 94,931,913,944.69
  5. Step 5: Solve for x
    x = 94,931,913,944.69/354,951.53
  6. Step 6: Final answer
    x = 267,450.36

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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.