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Finding the Fourth Proportional to 283,385.30, 424,093.80 and 194,811.80

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Solution

The fourth proportional to 283,385.30, 424,093.80 and 194,811.80 is: 291,541.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,385.30 : 424,093.80 = 194,811.80 : x
  2. Step 2: Convert to fraction form
    283,385.30/424,093.80 = 194,811.80/x
  3. Step 3: Cross multiply
    283,385.30x = 424,093.80 × 194,811.80
  4. Step 4: Simplify right side
    283,385.30x = 82,618,476,546.84
  5. Step 5: Solve for x
    x = 82,618,476,546.84/283,385.30
  6. Step 6: Final answer
    x = 291,541.15

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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.