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Finding the Fourth Proportional to 461,096.45, 691,690.78 and 141,244.61

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Solution

The fourth proportional to 461,096.45, 691,690.78 and 141,244.61 is: 211,881.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,096.45 : 691,690.78 = 141,244.61 : x
  2. Step 2: Convert to fraction form
    461,096.45/691,690.78 = 141,244.61/x
  3. Step 3: Cross multiply
    461,096.45x = 691,690.78 × 141,244.61
  4. Step 4: Simplify right side
    461,096.45x = 97,697,591,179.80
  5. Step 5: Solve for x
    x = 97,697,591,179.80/461,096.45
  6. Step 6: Final answer
    x = 211,881.03

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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.