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Finding the Fourth Proportional to 449,952.60, 674,941.05 and 197,103

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Solution

The fourth proportional to 449,952.60, 674,941.05 and 197,103 is: 295,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,952.60 : 674,941.05 = 197,103 : x
  2. Step 2: Convert to fraction form
    449,952.60/674,941.05 = 197,103/x
  3. Step 3: Cross multiply
    449,952.60x = 674,941.05 × 197,103
  4. Step 4: Simplify right side
    449,952.60x = 133,032,905,778.15
  5. Step 5: Solve for x
    x = 133,032,905,778.15/449,952.60
  6. Step 6: Final answer
    x = 295,659.82

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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.