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Finding the Fourth Proportional to 461,147.99, 691,820.46 and 161,646.84

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Solution

The fourth proportional to 461,147.99, 691,820.46 and 161,646.84 is: 242,504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,147.99 : 691,820.46 = 161,646.84 : x
  2. Step 2: Convert to fraction form
    461,147.99/691,820.46 = 161,646.84/x
  3. Step 3: Cross multiply
    461,147.99x = 691,820.46 × 161,646.84
  4. Step 4: Simplify right side
    461,147.99x = 111,830,591,206.35
  5. Step 5: Solve for x
    x = 111,830,591,206.35/461,147.99
  6. Step 6: Final answer
    x = 242,504.78

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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.