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Finding the Fourth Proportional to 449,781.60, 674,858.87 and 196,931.58

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Solution

The fourth proportional to 449,781.60, 674,858.87 and 196,931.58 is: 295,479.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,781.60 : 674,858.87 = 196,931.58 : x
  2. Step 2: Convert to fraction form
    449,781.60/674,858.87 = 196,931.58/x
  3. Step 3: Cross multiply
    449,781.60x = 674,858.87 × 196,931.58
  4. Step 4: Simplify right side
    449,781.60x = 132,901,023,546.12
  5. Step 5: Solve for x
    x = 132,901,023,546.12/449,781.60
  6. Step 6: Final answer
    x = 295,479.01

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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.