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Finding the Fourth Proportional to 299,591.80, 448,221.30 and 194,615.80

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Solution

The fourth proportional to 299,591.80, 448,221.30 and 194,615.80 is: 291,166.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,591.80 : 448,221.30 = 194,615.80 : x
  2. Step 2: Convert to fraction form
    299,591.80/448,221.30 = 194,615.80/x
  3. Step 3: Cross multiply
    299,591.80x = 448,221.30 × 194,615.80
  4. Step 4: Simplify right side
    299,591.80x = 87,230,946,876.54
  5. Step 5: Solve for x
    x = 87,230,946,876.54/299,591.80
  6. Step 6: Final answer
    x = 291,166.00

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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.